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Finding the Third Proportional to 86,496 and 133,584

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Solution

The third proportional to 86,496 and 133,584 is: 206,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,496 : 133,584 = 133,584 : x
  2. Step 2: Convert to fraction form
    86,496/133,584 = 133,584/x
  3. Step 3: Cross multiply
    86,496x = 133,584 × 133,584
  4. Step 4: Simplify right side
    86,496x = 17,844,685,056
  5. Step 5: Solve for x
    x = 17,844,685,056/86,496
  6. Step 6: Final answer
    x = 206,306.48

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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.