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Finding the Third Proportional to 59,191.50 and 86,586

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Solution

The third proportional to 59,191.50 and 86,586 is: 126,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,191.50 : 86,586 = 86,586 : x
  2. Step 2: Convert to fraction form
    59,191.50/86,586 = 86,586/x
  3. Step 3: Cross multiply
    59,191.50x = 86,586 × 86,586
  4. Step 4: Simplify right side
    59,191.50x = 7,497,135,396
  5. Step 5: Solve for x
    x = 7,497,135,396/59,191.50
  6. Step 6: Final answer
    x = 126,658.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.