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Finding the Third Proportional to 31,005 and 67,160

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Solution

The third proportional to 31,005 and 67,160 is: 145,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005 : 67,160 = 67,160 : x
  2. Step 2: Convert to fraction form
    31,005/67,160 = 67,160/x
  3. Step 3: Cross multiply
    31,005x = 67,160 × 67,160
  4. Step 4: Simplify right side
    31,005x = 4,510,465,600
  5. Step 5: Solve for x
    x = 4,510,465,600/31,005
  6. Step 6: Final answer
    x = 145,475.43

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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.