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Finding the Third Proportional to 127,158 and 192,373

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Solution

The third proportional to 127,158 and 192,373 is: 291,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,158 : 192,373 = 192,373 : x
  2. Step 2: Convert to fraction form
    127,158/192,373 = 192,373/x
  3. Step 3: Cross multiply
    127,158x = 192,373 × 192,373
  4. Step 4: Simplify right side
    127,158x = 37,007,371,129
  5. Step 5: Solve for x
    x = 37,007,371,129/127,158
  6. Step 6: Final answer
    x = 291,034.55

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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.