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Finding the Third Proportional to 121,472 and 261,397

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Solution

The third proportional to 121,472 and 261,397 is: 562,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,472 : 261,397 = 261,397 : x
  2. Step 2: Convert to fraction form
    121,472/261,397 = 261,397/x
  3. Step 3: Cross multiply
    121,472x = 261,397 × 261,397
  4. Step 4: Simplify right side
    121,472x = 68,328,391,609
  5. Step 5: Solve for x
    x = 68,328,391,609/121,472
  6. Step 6: Final answer
    x = 562,503.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.