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Finding the Third Proportional to 31,659 and 70,716

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Solution

The third proportional to 31,659 and 70,716 is: 157,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,659 : 70,716 = 70,716 : x
  2. Step 2: Convert to fraction form
    31,659/70,716 = 70,716/x
  3. Step 3: Cross multiply
    31,659x = 70,716 × 70,716
  4. Step 4: Simplify right side
    31,659x = 5,000,752,656
  5. Step 5: Solve for x
    x = 5,000,752,656/31,659
  6. Step 6: Final answer
    x = 157,956.75

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.