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Finding the Third Proportional to 49,160 and 73,792

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Solution

The third proportional to 49,160 and 73,792 is: 110,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,160 : 73,792 = 73,792 : x
  2. Step 2: Convert to fraction form
    49,160/73,792 = 73,792/x
  3. Step 3: Cross multiply
    49,160x = 73,792 × 73,792
  4. Step 4: Simplify right side
    49,160x = 5,445,259,264
  5. Step 5: Solve for x
    x = 5,445,259,264/49,160
  6. Step 6: Final answer
    x = 110,766.06

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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.