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Finding the Third Proportional to 114,501 and 175,149

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Solution

The third proportional to 114,501 and 175,149 is: 267,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,501 : 175,149 = 175,149 : x
  2. Step 2: Convert to fraction form
    114,501/175,149 = 175,149/x
  3. Step 3: Cross multiply
    114,501x = 175,149 × 175,149
  4. Step 4: Simplify right side
    114,501x = 30,677,172,201
  5. Step 5: Solve for x
    x = 30,677,172,201/114,501
  6. Step 6: Final answer
    x = 267,920.56

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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.