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Finding the Third Proportional to 124,950.38 and 274,217.63

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Solution

The third proportional to 124,950.38 and 274,217.63 is: 601,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,950.38 : 274,217.63 = 274,217.63 : x
  2. Step 2: Convert to fraction form
    124,950.38/274,217.63 = 274,217.63/x
  3. Step 3: Cross multiply
    124,950.38x = 274,217.63 × 274,217.63
  4. Step 4: Simplify right side
    124,950.38x = 75,195,305,860.64
  5. Step 5: Solve for x
    x = 75,195,305,860.64/124,950.38
  6. Step 6: Final answer
    x = 601,801.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.