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Finding the Third Proportional to 66,696 and 101,737

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Solution

The third proportional to 66,696 and 101,737 is: 155,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,696 : 101,737 = 101,737 : x
  2. Step 2: Convert to fraction form
    66,696/101,737 = 101,737/x
  3. Step 3: Cross multiply
    66,696x = 101,737 × 101,737
  4. Step 4: Simplify right side
    66,696x = 10,350,417,169
  5. Step 5: Solve for x
    x = 10,350,417,169/66,696
  6. Step 6: Final answer
    x = 155,187.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.