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Finding the Third Proportional to 124,714.69 and 273,574.97

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Solution

The third proportional to 124,714.69 and 273,574.97 is: 600,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,714.69 : 273,574.97 = 273,574.97 : x
  2. Step 2: Convert to fraction form
    124,714.69/273,574.97 = 273,574.97/x
  3. Step 3: Cross multiply
    124,714.69x = 273,574.97 × 273,574.97
  4. Step 4: Simplify right side
    124,714.69x = 74,843,263,526.56
  5. Step 5: Solve for x
    x = 74,843,263,526.56/124,714.69
  6. Step 6: Final answer
    x = 600,115.87

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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.