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Finding the Third Proportional to 127,697 and 193,320

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Solution

The third proportional to 127,697 and 193,320 is: 292,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,697 : 193,320 = 193,320 : x
  2. Step 2: Convert to fraction form
    127,697/193,320 = 193,320/x
  3. Step 3: Cross multiply
    127,697x = 193,320 × 193,320
  4. Step 4: Simplify right side
    127,697x = 37,372,622,400
  5. Step 5: Solve for x
    x = 37,372,622,400/127,697
  6. Step 6: Final answer
    x = 292,666.41

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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.