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Finding the Third Proportional to 64,000.13 and 92,187.56

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Solution

The third proportional to 64,000.13 and 92,187.56 is: 132,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.13 : 92,187.56 = 92,187.56 : x
  2. Step 2: Convert to fraction form
    64,000.13/92,187.56 = 92,187.56/x
  3. Step 3: Cross multiply
    64,000.13x = 92,187.56 × 92,187.56
  4. Step 4: Simplify right side
    64,000.13x = 8,498,546,679.69
  5. Step 5: Solve for x
    x = 8,498,546,679.69/64,000.13
  6. Step 6: Final answer
    x = 132,789.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.