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Finding the Third Proportional to 76,114 and 121,217

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Solution

The third proportional to 76,114 and 121,217 is: 193,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114 : 121,217 = 121,217 : x
  2. Step 2: Convert to fraction form
    76,114/121,217 = 121,217/x
  3. Step 3: Cross multiply
    76,114x = 121,217 × 121,217
  4. Step 4: Simplify right side
    76,114x = 14,693,561,089
  5. Step 5: Solve for x
    x = 14,693,561,089/76,114
  6. Step 6: Final answer
    x = 193,046.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.