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Finding the Third Proportional to 63,612 and 83,674

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Solution

The third proportional to 63,612 and 83,674 is: 110,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,612 : 83,674 = 83,674 : x
  2. Step 2: Convert to fraction form
    63,612/83,674 = 83,674/x
  3. Step 3: Cross multiply
    63,612x = 83,674 × 83,674
  4. Step 4: Simplify right side
    63,612x = 7,001,338,276
  5. Step 5: Solve for x
    x = 7,001,338,276/63,612
  6. Step 6: Final answer
    x = 110,063.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.