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Finding the Third Proportional to 75,049 and 114,120

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Solution

The third proportional to 75,049 and 114,120 is: 173,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,049 : 114,120 = 114,120 : x
  2. Step 2: Convert to fraction form
    75,049/114,120 = 114,120/x
  3. Step 3: Cross multiply
    75,049x = 114,120 × 114,120
  4. Step 4: Simplify right side
    75,049x = 13,023,374,400
  5. Step 5: Solve for x
    x = 13,023,374,400/75,049
  6. Step 6: Final answer
    x = 173,531.62

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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.