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Finding the Third Proportional to 31,110 and 67,134

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Solution

The third proportional to 31,110 and 67,134 is: 144,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,110 : 67,134 = 67,134 : x
  2. Step 2: Convert to fraction form
    31,110/67,134 = 67,134/x
  3. Step 3: Cross multiply
    31,110x = 67,134 × 67,134
  4. Step 4: Simplify right side
    31,110x = 4,506,973,956
  5. Step 5: Solve for x
    x = 4,506,973,956/31,110
  6. Step 6: Final answer
    x = 144,872.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.