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Finding the Third Proportional to 63,714 and 95,730

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Solution

The third proportional to 63,714 and 95,730 is: 143,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,714 : 95,730 = 95,730 : x
  2. Step 2: Convert to fraction form
    63,714/95,730 = 95,730/x
  3. Step 3: Cross multiply
    63,714x = 95,730 × 95,730
  4. Step 4: Simplify right side
    63,714x = 9,164,232,900
  5. Step 5: Solve for x
    x = 9,164,232,900/63,714
  6. Step 6: Final answer
    x = 143,833.90

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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.