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Finding the Third Proportional to 127,282 and 192,531

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Solution

The third proportional to 127,282 and 192,531 is: 291,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,282 : 192,531 = 192,531 : x
  2. Step 2: Convert to fraction form
    127,282/192,531 = 192,531/x
  3. Step 3: Cross multiply
    127,282x = 192,531 × 192,531
  4. Step 4: Simplify right side
    127,282x = 37,068,185,961
  5. Step 5: Solve for x
    x = 37,068,185,961/127,282
  6. Step 6: Final answer
    x = 291,228.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.