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Finding the Third Proportional to 84,771 and 115,131.38

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Solution

The third proportional to 84,771 and 115,131.38 is: 156,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,771 : 115,131.38 = 115,131.38 : x
  2. Step 2: Convert to fraction form
    84,771/115,131.38 = 115,131.38/x
  3. Step 3: Cross multiply
    84,771x = 115,131.38 × 115,131.38
  4. Step 4: Simplify right side
    84,771x = 13,255,233,509.39
  5. Step 5: Solve for x
    x = 13,255,233,509.39/84,771
  6. Step 6: Final answer
    x = 156,365.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.