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Finding the Third Proportional to 75,659 and 109,924

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Solution

The third proportional to 75,659 and 109,924 is: 159,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,659 : 109,924 = 109,924 : x
  2. Step 2: Convert to fraction form
    75,659/109,924 = 109,924/x
  3. Step 3: Cross multiply
    75,659x = 109,924 × 109,924
  4. Step 4: Simplify right side
    75,659x = 12,083,285,776
  5. Step 5: Solve for x
    x = 12,083,285,776/75,659
  6. Step 6: Final answer
    x = 159,707.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.