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Finding the Third Proportional to 125,004.52 and 198,578.46

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Solution

The third proportional to 125,004.52 and 198,578.46 is: 315,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,004.52 : 198,578.46 = 198,578.46 : x
  2. Step 2: Convert to fraction form
    125,004.52/198,578.46 = 198,578.46/x
  3. Step 3: Cross multiply
    125,004.52x = 198,578.46 × 198,578.46
  4. Step 4: Simplify right side
    125,004.52x = 39,433,405,148.31
  5. Step 5: Solve for x
    x = 39,433,405,148.31/125,004.52
  6. Step 6: Final answer
    x = 315,455.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.