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Finding the Third Proportional to 121,602 and 182,792

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Solution

The third proportional to 121,602 and 182,792 is: 274,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,602 : 182,792 = 182,792 : x
  2. Step 2: Convert to fraction form
    121,602/182,792 = 182,792/x
  3. Step 3: Cross multiply
    121,602x = 182,792 × 182,792
  4. Step 4: Simplify right side
    121,602x = 33,412,915,264
  5. Step 5: Solve for x
    x = 33,412,915,264/121,602
  6. Step 6: Final answer
    x = 274,772.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.