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Finding the Third Proportional to 129,173.06 and 188,656.31

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Solution

The third proportional to 129,173.06 and 188,656.31 is: 275,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,173.06 : 188,656.31 = 188,656.31 : x
  2. Step 2: Convert to fraction form
    129,173.06/188,656.31 = 188,656.31/x
  3. Step 3: Cross multiply
    129,173.06x = 188,656.31 × 188,656.31
  4. Step 4: Simplify right side
    129,173.06x = 35,591,204,246.10
  5. Step 5: Solve for x
    x = 35,591,204,246.10/129,173.06
  6. Step 6: Final answer
    x = 275,531.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.