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Finding the Third Proportional to 63,703 and 95,715

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Solution

The third proportional to 63,703 and 95,715 is: 143,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,703 : 95,715 = 95,715 : x
  2. Step 2: Convert to fraction form
    63,703/95,715 = 95,715/x
  3. Step 3: Cross multiply
    63,703x = 95,715 × 95,715
  4. Step 4: Simplify right side
    63,703x = 9,161,361,225
  5. Step 5: Solve for x
    x = 9,161,361,225/63,703
  6. Step 6: Final answer
    x = 143,813.65

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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.