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Finding the Third Proportional to 63,710 and 95,722

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Solution

The third proportional to 63,710 and 95,722 is: 143,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,710 : 95,722 = 95,722 : x
  2. Step 2: Convert to fraction form
    63,710/95,722 = 95,722/x
  3. Step 3: Cross multiply
    63,710x = 95,722 × 95,722
  4. Step 4: Simplify right side
    63,710x = 9,162,701,284
  5. Step 5: Solve for x
    x = 9,162,701,284/63,710
  6. Step 6: Final answer
    x = 143,818.89

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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.