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Finding the Third Proportional to 63,676 and 95,488

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Solution

The third proportional to 63,676 and 95,488 is: 143,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,676 : 95,488 = 95,488 : x
  2. Step 2: Convert to fraction form
    63,676/95,488 = 95,488/x
  3. Step 3: Cross multiply
    63,676x = 95,488 × 95,488
  4. Step 4: Simplify right side
    63,676x = 9,117,958,144
  5. Step 5: Solve for x
    x = 9,117,958,144/63,676
  6. Step 6: Final answer
    x = 143,193.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.