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Finding the Third Proportional to 75,045 and 160,132

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Solution

The third proportional to 75,045 and 160,132 is: 341,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,045 : 160,132 = 160,132 : x
  2. Step 2: Convert to fraction form
    75,045/160,132 = 160,132/x
  3. Step 3: Cross multiply
    75,045x = 160,132 × 160,132
  4. Step 4: Simplify right side
    75,045x = 25,642,257,424
  5. Step 5: Solve for x
    x = 25,642,257,424/75,045
  6. Step 6: Final answer
    x = 341,691.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.