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Finding the Third Proportional to 59,437.13 and 80,952.75

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Solution

The third proportional to 59,437.13 and 80,952.75 is: 110,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,437.13 : 80,952.75 = 80,952.75 : x
  2. Step 2: Convert to fraction form
    59,437.13/80,952.75 = 80,952.75/x
  3. Step 3: Cross multiply
    59,437.13x = 80,952.75 × 80,952.75
  4. Step 4: Simplify right side
    59,437.13x = 6,553,347,732.56
  5. Step 5: Solve for x
    x = 6,553,347,732.56/59,437.13
  6. Step 6: Final answer
    x = 110,256.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.