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Finding the Third Proportional to 125,833.50 and 193,488.75

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Solution

The third proportional to 125,833.50 and 193,488.75 is: 297,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,833.50 : 193,488.75 = 193,488.75 : x
  2. Step 2: Convert to fraction form
    125,833.50/193,488.75 = 193,488.75/x
  3. Step 3: Cross multiply
    125,833.50x = 193,488.75 × 193,488.75
  4. Step 4: Simplify right side
    125,833.50x = 37,437,896,376.56
  5. Step 5: Solve for x
    x = 37,437,896,376.56/125,833.50
  6. Step 6: Final answer
    x = 297,519.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.