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Finding the Third Proportional to 64,086 and 95,598

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Solution

The third proportional to 64,086 and 95,598 is: 142,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,086 : 95,598 = 95,598 : x
  2. Step 2: Convert to fraction form
    64,086/95,598 = 95,598/x
  3. Step 3: Cross multiply
    64,086x = 95,598 × 95,598
  4. Step 4: Simplify right side
    64,086x = 9,138,977,604
  5. Step 5: Solve for x
    x = 9,138,977,604/64,086
  6. Step 6: Final answer
    x = 142,604.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.