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Finding the Third Proportional to 126,613.13 and 193,135.50

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Solution

The third proportional to 126,613.13 and 193,135.50 is: 294,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,613.13 : 193,135.50 = 193,135.50 : x
  2. Step 2: Convert to fraction form
    126,613.13/193,135.50 = 193,135.50/x
  3. Step 3: Cross multiply
    126,613.13x = 193,135.50 × 193,135.50
  4. Step 4: Simplify right side
    126,613.13x = 37,301,321,360.25
  5. Step 5: Solve for x
    x = 37,301,321,360.25/126,613.13
  6. Step 6: Final answer
    x = 294,608.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.