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Finding the Third Proportional to 114,486 and 175,134

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Solution

The third proportional to 114,486 and 175,134 is: 267,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,486 : 175,134 = 175,134 : x
  2. Step 2: Convert to fraction form
    114,486/175,134 = 175,134/x
  3. Step 3: Cross multiply
    114,486x = 175,134 × 175,134
  4. Step 4: Simplify right side
    114,486x = 30,671,917,956
  5. Step 5: Solve for x
    x = 30,671,917,956/114,486
  6. Step 6: Final answer
    x = 267,909.77

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Why These Related Problems?

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