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Finding the Third Proportional to 66,702 and 101,747

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Solution

The third proportional to 66,702 and 101,747 is: 155,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,702 : 101,747 = 101,747 : x
  2. Step 2: Convert to fraction form
    66,702/101,747 = 101,747/x
  3. Step 3: Cross multiply
    66,702x = 101,747 × 101,747
  4. Step 4: Simplify right side
    66,702x = 10,352,452,009
  5. Step 5: Solve for x
    x = 10,352,452,009/66,702
  6. Step 6: Final answer
    x = 155,204.52

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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.