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Finding the Third Proportional to 124,561.13 and 193,403.53

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Solution

The third proportional to 124,561.13 and 193,403.53 is: 300,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,561.13 : 193,403.53 = 193,403.53 : x
  2. Step 2: Convert to fraction form
    124,561.13/193,403.53 = 193,403.53/x
  3. Step 3: Cross multiply
    124,561.13x = 193,403.53 × 193,403.53
  4. Step 4: Simplify right side
    124,561.13x = 37,404,925,899.97
  5. Step 5: Solve for x
    x = 37,404,925,899.97/124,561.13
  6. Step 6: Final answer
    x = 300,293.74

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