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Finding the Third Proportional to 127,156 and 192,371

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Solution

The third proportional to 127,156 and 192,371 is: 291,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,156 : 192,371 = 192,371 : x
  2. Step 2: Convert to fraction form
    127,156/192,371 = 192,371/x
  3. Step 3: Cross multiply
    127,156x = 192,371 × 192,371
  4. Step 4: Simplify right side
    127,156x = 37,006,601,641
  5. Step 5: Solve for x
    x = 37,006,601,641/127,156
  6. Step 6: Final answer
    x = 291,033.07

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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.