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Finding the Third Proportional to 129,059.25 and 181,419.75

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Solution

The third proportional to 129,059.25 and 181,419.75 is: 255,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,059.25 : 181,419.75 = 181,419.75 : x
  2. Step 2: Convert to fraction form
    129,059.25/181,419.75 = 181,419.75/x
  3. Step 3: Cross multiply
    129,059.25x = 181,419.75 × 181,419.75
  4. Step 4: Simplify right side
    129,059.25x = 32,913,125,690.06
  5. Step 5: Solve for x
    x = 32,913,125,690.06/129,059.25
  6. Step 6: Final answer
    x = 255,023.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.