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Finding the Third Proportional to 40,127 and 61,259

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Solution

The third proportional to 40,127 and 61,259 is: 93,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,127 : 61,259 = 61,259 : x
  2. Step 2: Convert to fraction form
    40,127/61,259 = 61,259/x
  3. Step 3: Cross multiply
    40,127x = 61,259 × 61,259
  4. Step 4: Simplify right side
    40,127x = 3,752,665,081
  5. Step 5: Solve for x
    x = 3,752,665,081/40,127
  6. Step 6: Final answer
    x = 93,519.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.