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Finding the Third Proportional to 106,439.63 and 159,675.19

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Solution

The third proportional to 106,439.63 and 159,675.19 is: 239,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,439.63 : 159,675.19 = 159,675.19 : x
  2. Step 2: Convert to fraction form
    106,439.63/159,675.19 = 159,675.19/x
  3. Step 3: Cross multiply
    106,439.63x = 159,675.19 × 159,675.19
  4. Step 4: Simplify right side
    106,439.63x = 25,496,165,503.16
  5. Step 5: Solve for x
    x = 25,496,165,503.16/106,439.63
  6. Step 6: Final answer
    x = 239,536.41

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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.