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Finding the Third Proportional to 124,580 and 193,422

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Solution

The third proportional to 124,580 and 193,422 is: 300,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,580 : 193,422 = 193,422 : x
  2. Step 2: Convert to fraction form
    124,580/193,422 = 193,422/x
  3. Step 3: Cross multiply
    124,580x = 193,422 × 193,422
  4. Step 4: Simplify right side
    124,580x = 37,412,070,084
  5. Step 5: Solve for x
    x = 37,412,070,084/124,580
  6. Step 6: Final answer
    x = 300,305.59

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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.