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Finding the Third Proportional to 76,866 and 98,217

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Solution

The third proportional to 76,866 and 98,217 is: 125,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866 : 98,217 = 98,217 : x
  2. Step 2: Convert to fraction form
    76,866/98,217 = 98,217/x
  3. Step 3: Cross multiply
    76,866x = 98,217 × 98,217
  4. Step 4: Simplify right side
    76,866x = 9,646,579,089
  5. Step 5: Solve for x
    x = 9,646,579,089/76,866
  6. Step 6: Final answer
    x = 125,498.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.