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Finding the Third Proportional to 52,693 and 112,792

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Solution

The third proportional to 52,693 and 112,792 is: 241,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,693 : 112,792 = 112,792 : x
  2. Step 2: Convert to fraction form
    52,693/112,792 = 112,792/x
  3. Step 3: Cross multiply
    52,693x = 112,792 × 112,792
  4. Step 4: Simplify right side
    52,693x = 12,722,035,264
  5. Step 5: Solve for x
    x = 12,722,035,264/52,693
  6. Step 6: Final answer
    x = 241,436.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.