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Finding the Third Proportional to 70,614 and 98,965

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Solution

The third proportional to 70,614 and 98,965 is: 138,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614 : 98,965 = 98,965 : x
  2. Step 2: Convert to fraction form
    70,614/98,965 = 98,965/x
  3. Step 3: Cross multiply
    70,614x = 98,965 × 98,965
  4. Step 4: Simplify right side
    70,614x = 9,794,071,225
  5. Step 5: Solve for x
    x = 9,794,071,225/70,614
  6. Step 6: Final answer
    x = 138,698.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.