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Finding the Third Proportional to 66,792 and 102,706

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Solution

The third proportional to 66,792 and 102,706 is: 157,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,792 : 102,706 = 102,706 : x
  2. Step 2: Convert to fraction form
    66,792/102,706 = 102,706/x
  3. Step 3: Cross multiply
    66,792x = 102,706 × 102,706
  4. Step 4: Simplify right side
    66,792x = 10,548,522,436
  5. Step 5: Solve for x
    x = 10,548,522,436/66,792
  6. Step 6: Final answer
    x = 157,930.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.