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Finding the Third Proportional to 63,566 and 86,330

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Solution

The third proportional to 63,566 and 86,330 is: 117,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,566 : 86,330 = 86,330 : x
  2. Step 2: Convert to fraction form
    63,566/86,330 = 86,330/x
  3. Step 3: Cross multiply
    63,566x = 86,330 × 86,330
  4. Step 4: Simplify right side
    63,566x = 7,452,868,900
  5. Step 5: Solve for x
    x = 7,452,868,900/63,566
  6. Step 6: Final answer
    x = 117,246.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.