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Finding the Third Proportional to 157,600.69 and 187,125.19

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Solution

The third proportional to 157,600.69 and 187,125.19 is: 222,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,600.69 : 187,125.19 = 187,125.19 : x
  2. Step 2: Convert to fraction form
    157,600.69/187,125.19 = 187,125.19/x
  3. Step 3: Cross multiply
    157,600.69x = 187,125.19 × 187,125.19
  4. Step 4: Simplify right side
    157,600.69x = 35,015,835,796.91
  5. Step 5: Solve for x
    x = 35,015,835,796.91/157,600.69
  6. Step 6: Final answer
    x = 222,180.73

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.