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Finding the Third Proportional to 108,678.75 and 159,768.75

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Solution

The third proportional to 108,678.75 and 159,768.75 is: 234,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,678.75 : 159,768.75 = 159,768.75 : x
  2. Step 2: Convert to fraction form
    108,678.75/159,768.75 = 159,768.75/x
  3. Step 3: Cross multiply
    108,678.75x = 159,768.75 × 159,768.75
  4. Step 4: Simplify right side
    108,678.75x = 25,526,053,476.56
  5. Step 5: Solve for x
    x = 25,526,053,476.56/108,678.75
  6. Step 6: Final answer
    x = 234,876.22

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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.