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Finding the Third Proportional to 70,498 and 107,979

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Solution

The third proportional to 70,498 and 107,979 is: 165,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498 : 107,979 = 107,979 : x
  2. Step 2: Convert to fraction form
    70,498/107,979 = 107,979/x
  3. Step 3: Cross multiply
    70,498x = 107,979 × 107,979
  4. Step 4: Simplify right side
    70,498x = 11,659,464,441
  5. Step 5: Solve for x
    x = 11,659,464,441/70,498
  6. Step 6: Final answer
    x = 165,387.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.