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Finding the Third Proportional to 66,806 and 102,727

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Solution

The third proportional to 66,806 and 102,727 is: 157,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,806 : 102,727 = 102,727 : x
  2. Step 2: Convert to fraction form
    66,806/102,727 = 102,727/x
  3. Step 3: Cross multiply
    66,806x = 102,727 × 102,727
  4. Step 4: Simplify right side
    66,806x = 10,552,836,529
  5. Step 5: Solve for x
    x = 10,552,836,529/66,806
  6. Step 6: Final answer
    x = 157,962.41

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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.