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Finding the Third Proportional to 132,582 and 192,612

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Solution

The third proportional to 132,582 and 192,612 is: 279,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,582 : 192,612 = 192,612 : x
  2. Step 2: Convert to fraction form
    132,582/192,612 = 192,612/x
  3. Step 3: Cross multiply
    132,582x = 192,612 × 192,612
  4. Step 4: Simplify right side
    132,582x = 37,099,382,544
  5. Step 5: Solve for x
    x = 37,099,382,544/132,582
  6. Step 6: Final answer
    x = 279,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.