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Finding the Third Proportional to 125,524.69 and 188,287.03

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Solution

The third proportional to 125,524.69 and 188,287.03 is: 282,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,524.69 : 188,287.03 = 188,287.03 : x
  2. Step 2: Convert to fraction form
    125,524.69/188,287.03 = 188,287.03/x
  3. Step 3: Cross multiply
    125,524.69x = 188,287.03 × 188,287.03
  4. Step 4: Simplify right side
    125,524.69x = 35,452,006,136.94
  5. Step 5: Solve for x
    x = 35,452,006,136.94/125,524.69
  6. Step 6: Final answer
    x = 282,430.55

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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.