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Finding the Third Proportional to 75,932 and 115,771

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Solution

The third proportional to 75,932 and 115,771 is: 176,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932 : 115,771 = 115,771 : x
  2. Step 2: Convert to fraction form
    75,932/115,771 = 115,771/x
  3. Step 3: Cross multiply
    75,932x = 115,771 × 115,771
  4. Step 4: Simplify right side
    75,932x = 13,402,924,441
  5. Step 5: Solve for x
    x = 13,402,924,441/75,932
  6. Step 6: Final answer
    x = 176,512.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.