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Finding the Third Proportional to 124,475 and 273,138

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Solution

The third proportional to 124,475 and 273,138 is: 599,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,475 : 273,138 = 273,138 : x
  2. Step 2: Convert to fraction form
    124,475/273,138 = 273,138/x
  3. Step 3: Cross multiply
    124,475x = 273,138 × 273,138
  4. Step 4: Simplify right side
    124,475x = 74,604,367,044
  5. Step 5: Solve for x
    x = 74,604,367,044/124,475
  6. Step 6: Final answer
    x = 599,352.22

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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.