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Finding the Third Proportional to 75,281 and 112,932

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Solution

The third proportional to 75,281 and 112,932 is: 169,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281 : 112,932 = 112,932 : x
  2. Step 2: Convert to fraction form
    75,281/112,932 = 112,932/x
  3. Step 3: Cross multiply
    75,281x = 112,932 × 112,932
  4. Step 4: Simplify right side
    75,281x = 12,753,636,624
  5. Step 5: Solve for x
    x = 12,753,636,624/75,281
  6. Step 6: Final answer
    x = 169,413.75

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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.