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Finding the Third Proportional to 108,195.75 and 159,013.13

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Solution

The third proportional to 108,195.75 and 159,013.13 is: 233,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,195.75 : 159,013.13 = 159,013.13 : x
  2. Step 2: Convert to fraction form
    108,195.75/159,013.13 = 159,013.13/x
  3. Step 3: Cross multiply
    108,195.75x = 159,013.13 × 159,013.13
  4. Step 4: Simplify right side
    108,195.75x = 25,285,173,922.27
  5. Step 5: Solve for x
    x = 25,285,173,922.27/108,195.75
  6. Step 6: Final answer
    x = 233,698.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.