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Finding the Third Proportional to 86,304 and 133,248

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Solution

The third proportional to 86,304 and 133,248 is: 205,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,304 : 133,248 = 133,248 : x
  2. Step 2: Convert to fraction form
    86,304/133,248 = 133,248/x
  3. Step 3: Cross multiply
    86,304x = 133,248 × 133,248
  4. Step 4: Simplify right side
    86,304x = 17,755,029,504
  5. Step 5: Solve for x
    x = 17,755,029,504/86,304
  6. Step 6: Final answer
    x = 205,726.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.