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Finding the Third Proportional to 91,459.13 and 136,500.19

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Solution

The third proportional to 91,459.13 and 136,500.19 is: 203,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,459.13 : 136,500.19 = 136,500.19 : x
  2. Step 2: Convert to fraction form
    91,459.13/136,500.19 = 136,500.19/x
  3. Step 3: Cross multiply
    91,459.13x = 136,500.19 × 136,500.19
  4. Step 4: Simplify right side
    91,459.13x = 18,632,301,187.54
  5. Step 5: Solve for x
    x = 18,632,301,187.54/91,459.13
  6. Step 6: Final answer
    x = 203,722.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.