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Finding the Third Proportional to 59,555 and 92,132

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Solution

The third proportional to 59,555 and 92,132 is: 142,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,555 : 92,132 = 92,132 : x
  2. Step 2: Convert to fraction form
    59,555/92,132 = 92,132/x
  3. Step 3: Cross multiply
    59,555x = 92,132 × 92,132
  4. Step 4: Simplify right side
    59,555x = 8,488,305,424
  5. Step 5: Solve for x
    x = 8,488,305,424/59,555
  6. Step 6: Final answer
    x = 142,528.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.