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Finding the Third Proportional to 75,132 and 112,464

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Solution

The third proportional to 75,132 and 112,464 is: 168,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132 : 112,464 = 112,464 : x
  2. Step 2: Convert to fraction form
    75,132/112,464 = 112,464/x
  3. Step 3: Cross multiply
    75,132x = 112,464 × 112,464
  4. Step 4: Simplify right side
    75,132x = 12,648,151,296
  5. Step 5: Solve for x
    x = 12,648,151,296/75,132
  6. Step 6: Final answer
    x = 168,345.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.