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Finding the Third Proportional to 149,126.06 and 225,860.91

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Solution

The third proportional to 149,126.06 and 225,860.91 is: 342,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,126.06 : 225,860.91 = 225,860.91 : x
  2. Step 2: Convert to fraction form
    149,126.06/225,860.91 = 225,860.91/x
  3. Step 3: Cross multiply
    149,126.06x = 225,860.91 × 225,860.91
  4. Step 4: Simplify right side
    149,126.06x = 51,013,148,972.07
  5. Step 5: Solve for x
    x = 51,013,148,972.07/149,126.06
  6. Step 6: Final answer
    x = 342,080.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.