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Finding the Third Proportional to 124,741.13 and 195,456.94

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Solution

The third proportional to 124,741.13 and 195,456.94 is: 306,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,741.13 : 195,456.94 = 195,456.94 : x
  2. Step 2: Convert to fraction form
    124,741.13/195,456.94 = 195,456.94/x
  3. Step 3: Cross multiply
    124,741.13x = 195,456.94 × 195,456.94
  4. Step 4: Simplify right side
    124,741.13x = 38,203,414,416.88
  5. Step 5: Solve for x
    x = 38,203,414,416.88/124,741.13
  6. Step 6: Final answer
    x = 306,261.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.