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Finding the Third Proportional to 126,360 and 272,402

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Solution

The third proportional to 126,360 and 272,402 is: 587,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,360 : 272,402 = 272,402 : x
  2. Step 2: Convert to fraction form
    126,360/272,402 = 272,402/x
  3. Step 3: Cross multiply
    126,360x = 272,402 × 272,402
  4. Step 4: Simplify right side
    126,360x = 74,202,849,604
  5. Step 5: Solve for x
    x = 74,202,849,604/126,360
  6. Step 6: Final answer
    x = 587,233.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.