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Finding the Third Proportional to 31,081 and 67,076

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Solution

The third proportional to 31,081 and 67,076 is: 144,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081 : 67,076 = 67,076 : x
  2. Step 2: Convert to fraction form
    31,081/67,076 = 67,076/x
  3. Step 3: Cross multiply
    31,081x = 67,076 × 67,076
  4. Step 4: Simplify right side
    31,081x = 4,499,189,776
  5. Step 5: Solve for x
    x = 4,499,189,776/31,081
  6. Step 6: Final answer
    x = 144,756.92

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