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Finding the Third Proportional to 31,599 and 67,959

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Solution

The third proportional to 31,599 and 67,959 is: 146,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599 : 67,959 = 67,959 : x
  2. Step 2: Convert to fraction form
    31,599/67,959 = 67,959/x
  3. Step 3: Cross multiply
    31,599x = 67,959 × 67,959
  4. Step 4: Simplify right side
    31,599x = 4,618,425,681
  5. Step 5: Solve for x
    x = 4,618,425,681/31,599
  6. Step 6: Final answer
    x = 146,157.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.