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Finding the Third Proportional to 31,374 and 67,065

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Solution

The third proportional to 31,374 and 67,065 is: 143,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374 : 67,065 = 67,065 : x
  2. Step 2: Convert to fraction form
    31,374/67,065 = 67,065/x
  3. Step 3: Cross multiply
    31,374x = 67,065 × 67,065
  4. Step 4: Simplify right side
    31,374x = 4,497,714,225
  5. Step 5: Solve for x
    x = 4,497,714,225/31,374
  6. Step 6: Final answer
    x = 143,358.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.