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Finding the Third Proportional to 125,357.63 and 188,635.50

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Solution

The third proportional to 125,357.63 and 188,635.50 is: 283,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,357.63 : 188,635.50 = 188,635.50 : x
  2. Step 2: Convert to fraction form
    125,357.63/188,635.50 = 188,635.50/x
  3. Step 3: Cross multiply
    125,357.63x = 188,635.50 × 188,635.50
  4. Step 4: Simplify right side
    125,357.63x = 35,583,351,860.25
  5. Step 5: Solve for x
    x = 35,583,351,860.25/125,357.63
  6. Step 6: Final answer
    x = 283,854.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.