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Finding the Third Proportional to 91,189.13 and 136,419.19

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Solution

The third proportional to 91,189.13 and 136,419.19 is: 204,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,189.13 : 136,419.19 = 136,419.19 : x
  2. Step 2: Convert to fraction form
    91,189.13/136,419.19 = 136,419.19/x
  3. Step 3: Cross multiply
    91,189.13x = 136,419.19 × 136,419.19
  4. Step 4: Simplify right side
    91,189.13x = 18,610,194,718.16
  5. Step 5: Solve for x
    x = 18,610,194,718.16/91,189.13
  6. Step 6: Final answer
    x = 204,083.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.