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Finding the Third Proportional to 124,650 and 193,377

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Solution

The third proportional to 124,650 and 193,377 is: 299,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,650 : 193,377 = 193,377 : x
  2. Step 2: Convert to fraction form
    124,650/193,377 = 193,377/x
  3. Step 3: Cross multiply
    124,650x = 193,377 × 193,377
  4. Step 4: Simplify right side
    124,650x = 37,394,664,129
  5. Step 5: Solve for x
    x = 37,394,664,129/124,650
  6. Step 6: Final answer
    x = 299,997.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.