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Finding the Third Proportional to 86,304 and 135,612

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Solution

The third proportional to 86,304 and 135,612 is: 213,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,304 : 135,612 = 135,612 : x
  2. Step 2: Convert to fraction form
    86,304/135,612 = 135,612/x
  3. Step 3: Cross multiply
    86,304x = 135,612 × 135,612
  4. Step 4: Simplify right side
    86,304x = 18,390,614,544
  5. Step 5: Solve for x
    x = 18,390,614,544/86,304
  6. Step 6: Final answer
    x = 213,091.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.