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Finding the Third Proportional to 78,656 and 171,134

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Solution

The third proportional to 78,656 and 171,134 is: 372,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,656 : 171,134 = 171,134 : x
  2. Step 2: Convert to fraction form
    78,656/171,134 = 171,134/x
  3. Step 3: Cross multiply
    78,656x = 171,134 × 171,134
  4. Step 4: Simplify right side
    78,656x = 29,286,845,956
  5. Step 5: Solve for x
    x = 29,286,845,956/78,656
  6. Step 6: Final answer
    x = 372,340.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.