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Finding the Third Proportional to 115,771 and 169,876

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Solution

The third proportional to 115,771 and 169,876 is: 249,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,771 : 169,876 = 169,876 : x
  2. Step 2: Convert to fraction form
    115,771/169,876 = 169,876/x
  3. Step 3: Cross multiply
    115,771x = 169,876 × 169,876
  4. Step 4: Simplify right side
    115,771x = 28,857,855,376
  5. Step 5: Solve for x
    x = 28,857,855,376/115,771
  6. Step 6: Final answer
    x = 249,266.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.