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Finding the Third Proportional to 130,511.25 and 173,532.38

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Solution

The third proportional to 130,511.25 and 173,532.38 is: 230,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,511.25 : 173,532.38 = 173,532.38 : x
  2. Step 2: Convert to fraction form
    130,511.25/173,532.38 = 173,532.38/x
  3. Step 3: Cross multiply
    130,511.25x = 173,532.38 × 173,532.38
  4. Step 4: Simplify right side
    130,511.25x = 30,113,485,173.14
  5. Step 5: Solve for x
    x = 30,113,485,173.14/130,511.25
  6. Step 6: Final answer
    x = 230,734.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.