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Finding the Third Proportional to 31,252 and 67,712

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Solution

The third proportional to 31,252 and 67,712 is: 146,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,252 : 67,712 = 67,712 : x
  2. Step 2: Convert to fraction form
    31,252/67,712 = 67,712/x
  3. Step 3: Cross multiply
    31,252x = 67,712 × 67,712
  4. Step 4: Simplify right side
    31,252x = 4,584,914,944
  5. Step 5: Solve for x
    x = 4,584,914,944/31,252
  6. Step 6: Final answer
    x = 146,707.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.