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Finding the Third Proportional to 57,658.50 and 87,654.75

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Solution

The third proportional to 57,658.50 and 87,654.75 is: 133,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658.50 : 87,654.75 = 87,654.75 : x
  2. Step 2: Convert to fraction form
    57,658.50/87,654.75 = 87,654.75/x
  3. Step 3: Cross multiply
    57,658.50x = 87,654.75 × 87,654.75
  4. Step 4: Simplify right side
    57,658.50x = 7,683,355,197.56
  5. Step 5: Solve for x
    x = 7,683,355,197.56/57,658.50
  6. Step 6: Final answer
    x = 133,256.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.