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Finding the Third Proportional to 132,040.13 and 151,723.13

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Solution

The third proportional to 132,040.13 and 151,723.13 is: 174,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,040.13 : 151,723.13 = 151,723.13 : x
  2. Step 2: Convert to fraction form
    132,040.13/151,723.13 = 151,723.13/x
  3. Step 3: Cross multiply
    132,040.13x = 151,723.13 × 151,723.13
  4. Step 4: Simplify right side
    132,040.13x = 23,019,906,659.77
  5. Step 5: Solve for x
    x = 23,019,906,659.77/132,040.13
  6. Step 6: Final answer
    x = 174,340.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.