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Finding the Third Proportional to 31,592 and 67,072

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Solution

The third proportional to 31,592 and 67,072 is: 142,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592 : 67,072 = 67,072 : x
  2. Step 2: Convert to fraction form
    31,592/67,072 = 67,072/x
  3. Step 3: Cross multiply
    31,592x = 67,072 × 67,072
  4. Step 4: Simplify right side
    31,592x = 4,498,653,184
  5. Step 5: Solve for x
    x = 4,498,653,184/31,592
  6. Step 6: Final answer
    x = 142,398.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.