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Finding the Third Proportional to 124,714.69 and 273,552.19

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Solution

The third proportional to 124,714.69 and 273,552.19 is: 600,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,714.69 : 273,552.19 = 273,552.19 : x
  2. Step 2: Convert to fraction form
    124,714.69/273,552.19 = 273,552.19/x
  3. Step 3: Cross multiply
    124,714.69x = 273,552.19 × 273,552.19
  4. Step 4: Simplify right side
    124,714.69x = 74,830,799,286.04
  5. Step 5: Solve for x
    x = 74,830,799,286.04/124,714.69
  6. Step 6: Final answer
    x = 600,015.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.