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Finding the Third Proportional to 106,024.50 and 159,265.13

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Solution

The third proportional to 106,024.50 and 159,265.13 is: 239,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,024.50 : 159,265.13 = 159,265.13 : x
  2. Step 2: Convert to fraction form
    106,024.50/159,265.13 = 159,265.13/x
  3. Step 3: Cross multiply
    106,024.50x = 159,265.13 × 159,265.13
  4. Step 4: Simplify right side
    106,024.50x = 25,365,380,041.27
  5. Step 5: Solve for x
    x = 25,365,380,041.27/106,024.50
  6. Step 6: Final answer
    x = 239,240.74

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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.