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Finding the Third Proportional to 127,746 and 193,387

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Solution

The third proportional to 127,746 and 193,387 is: 292,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,746 : 193,387 = 193,387 : x
  2. Step 2: Convert to fraction form
    127,746/193,387 = 193,387/x
  3. Step 3: Cross multiply
    127,746x = 193,387 × 193,387
  4. Step 4: Simplify right side
    127,746x = 37,398,531,769
  5. Step 5: Solve for x
    x = 37,398,531,769/127,746
  6. Step 6: Final answer
    x = 292,756.97

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