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Finding the Third Proportional to 113,730.75 and 173,350.13

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Solution

The third proportional to 113,730.75 and 173,350.13 is: 264,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,730.75 : 173,350.13 = 173,350.13 : x
  2. Step 2: Convert to fraction form
    113,730.75/173,350.13 = 173,350.13/x
  3. Step 3: Cross multiply
    113,730.75x = 173,350.13 × 173,350.13
  4. Step 4: Simplify right side
    113,730.75x = 30,050,265,837.52
  5. Step 5: Solve for x
    x = 30,050,265,837.52/113,730.75
  6. Step 6: Final answer
    x = 264,222.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.