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Finding the Third Proportional to 66,295 and 102,792

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Solution

The third proportional to 66,295 and 102,792 is: 159,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,295 : 102,792 = 102,792 : x
  2. Step 2: Convert to fraction form
    66,295/102,792 = 102,792/x
  3. Step 3: Cross multiply
    66,295x = 102,792 × 102,792
  4. Step 4: Simplify right side
    66,295x = 10,566,195,264
  5. Step 5: Solve for x
    x = 10,566,195,264/66,295
  6. Step 6: Final answer
    x = 159,381.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.