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Finding the Third Proportional to 104,435.06 and 156,882.19

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Solution

The third proportional to 104,435.06 and 156,882.19 is: 235,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,435.06 : 156,882.19 = 156,882.19 : x
  2. Step 2: Convert to fraction form
    104,435.06/156,882.19 = 156,882.19/x
  3. Step 3: Cross multiply
    104,435.06x = 156,882.19 × 156,882.19
  4. Step 4: Simplify right side
    104,435.06x = 24,612,020,754.79
  5. Step 5: Solve for x
    x = 24,612,020,754.79/104,435.06
  6. Step 6: Final answer
    x = 235,668.18

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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.