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Finding the Third Proportional to 127,718 and 193,350

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Solution

The third proportional to 127,718 and 193,350 is: 292,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,718 : 193,350 = 193,350 : x
  2. Step 2: Convert to fraction form
    127,718/193,350 = 193,350/x
  3. Step 3: Cross multiply
    127,718x = 193,350 × 193,350
  4. Step 4: Simplify right side
    127,718x = 37,384,222,500
  5. Step 5: Solve for x
    x = 37,384,222,500/127,718
  6. Step 6: Final answer
    x = 292,709.11

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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.