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Finding the Third Proportional to 59,494 and 92,120

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Solution

The third proportional to 59,494 and 92,120 is: 142,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,494 : 92,120 = 92,120 : x
  2. Step 2: Convert to fraction form
    59,494/92,120 = 92,120/x
  3. Step 3: Cross multiply
    59,494x = 92,120 × 92,120
  4. Step 4: Simplify right side
    59,494x = 8,486,094,400
  5. Step 5: Solve for x
    x = 8,486,094,400/59,494
  6. Step 6: Final answer
    x = 142,637.82

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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.