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Finding the Third Proportional to 75,132 and 160,928

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Solution

The third proportional to 75,132 and 160,928 is: 344,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132 : 160,928 = 160,928 : x
  2. Step 2: Convert to fraction form
    75,132/160,928 = 160,928/x
  3. Step 3: Cross multiply
    75,132x = 160,928 × 160,928
  4. Step 4: Simplify right side
    75,132x = 25,897,821,184
  5. Step 5: Solve for x
    x = 25,897,821,184/75,132
  6. Step 6: Final answer
    x = 344,697.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.