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Finding the Third Proportional to 69,566 and 101,432

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Solution

The third proportional to 69,566 and 101,432 is: 147,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,566 : 101,432 = 101,432 : x
  2. Step 2: Convert to fraction form
    69,566/101,432 = 101,432/x
  3. Step 3: Cross multiply
    69,566x = 101,432 × 101,432
  4. Step 4: Simplify right side
    69,566x = 10,288,450,624
  5. Step 5: Solve for x
    x = 10,288,450,624/69,566
  6. Step 6: Final answer
    x = 147,894.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.