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Finding the Third Proportional to 39,132 and 76,304

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Solution

The third proportional to 39,132 and 76,304 is: 148,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,132 : 76,304 = 76,304 : x
  2. Step 2: Convert to fraction form
    39,132/76,304 = 76,304/x
  3. Step 3: Cross multiply
    39,132x = 76,304 × 76,304
  4. Step 4: Simplify right side
    39,132x = 5,822,300,416
  5. Step 5: Solve for x
    x = 5,822,300,416/39,132
  6. Step 6: Final answer
    x = 148,786.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.