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Finding the Third Proportional to 127,732 and 193,380

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Solution

The third proportional to 127,732 and 193,380 is: 292,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,732 : 193,380 = 193,380 : x
  2. Step 2: Convert to fraction form
    127,732/193,380 = 193,380/x
  3. Step 3: Cross multiply
    127,732x = 193,380 × 193,380
  4. Step 4: Simplify right side
    127,732x = 37,395,824,400
  5. Step 5: Solve for x
    x = 37,395,824,400/127,732
  6. Step 6: Final answer
    x = 292,767.86

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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.