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Finding the Third Proportional to 63,529 and 84,693.88

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Solution

The third proportional to 63,529 and 84,693.88 is: 112,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,529 : 84,693.88 = 84,693.88 : x
  2. Step 2: Convert to fraction form
    63,529/84,693.88 = 84,693.88/x
  3. Step 3: Cross multiply
    63,529x = 84,693.88 × 84,693.88
  4. Step 4: Simplify right side
    63,529x = 7,173,052,462.52
  5. Step 5: Solve for x
    x = 7,173,052,462.52/63,529
  6. Step 6: Final answer
    x = 112,909.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.