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Finding the Third Proportional to 106,039.13 and 151,201.69

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Solution

The third proportional to 106,039.13 and 151,201.69 is: 215,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.13 : 151,201.69 = 151,201.69 : x
  2. Step 2: Convert to fraction form
    106,039.13/151,201.69 = 151,201.69/x
  3. Step 3: Cross multiply
    106,039.13x = 151,201.69 × 151,201.69
  4. Step 4: Simplify right side
    106,039.13x = 22,861,950,302.85
  5. Step 5: Solve for x
    x = 22,861,950,302.85/106,039.13
  6. Step 6: Final answer
    x = 215,599.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.