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Finding the Third Proportional to 59,567 and 87,529

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Solution

The third proportional to 59,567 and 87,529 is: 128,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,567 : 87,529 = 87,529 : x
  2. Step 2: Convert to fraction form
    59,567/87,529 = 87,529/x
  3. Step 3: Cross multiply
    59,567x = 87,529 × 87,529
  4. Step 4: Simplify right side
    59,567x = 7,661,325,841
  5. Step 5: Solve for x
    x = 7,661,325,841/59,567
  6. Step 6: Final answer
    x = 128,616.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.