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Finding the Third Proportional to 75,744 and 117,279

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Solution

The third proportional to 75,744 and 117,279 is: 181,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,744 : 117,279 = 117,279 : x
  2. Step 2: Convert to fraction form
    75,744/117,279 = 117,279/x
  3. Step 3: Cross multiply
    75,744x = 117,279 × 117,279
  4. Step 4: Simplify right side
    75,744x = 13,754,363,841
  5. Step 5: Solve for x
    x = 13,754,363,841/75,744
  6. Step 6: Final answer
    x = 181,590.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.