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Finding the Third Proportional to 45,691.50 and 106,761

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Solution

The third proportional to 45,691.50 and 106,761 is: 249,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,691.50 : 106,761 = 106,761 : x
  2. Step 2: Convert to fraction form
    45,691.50/106,761 = 106,761/x
  3. Step 3: Cross multiply
    45,691.50x = 106,761 × 106,761
  4. Step 4: Simplify right side
    45,691.50x = 11,397,911,121
  5. Step 5: Solve for x
    x = 11,397,911,121/45,691.50
  6. Step 6: Final answer
    x = 249,453.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.