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Finding the Third Proportional to 59,086 and 87,763

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Solution

The third proportional to 59,086 and 87,763 is: 130,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,086 : 87,763 = 87,763 : x
  2. Step 2: Convert to fraction form
    59,086/87,763 = 87,763/x
  3. Step 3: Cross multiply
    59,086x = 87,763 × 87,763
  4. Step 4: Simplify right side
    59,086x = 7,702,344,169
  5. Step 5: Solve for x
    x = 7,702,344,169/59,086
  6. Step 6: Final answer
    x = 130,358.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.