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Finding the Third Proportional to 108,750.75 and 153,147

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Solution

The third proportional to 108,750.75 and 153,147 is: 215,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,750.75 : 153,147 = 153,147 : x
  2. Step 2: Convert to fraction form
    108,750.75/153,147 = 153,147/x
  3. Step 3: Cross multiply
    108,750.75x = 153,147 × 153,147
  4. Step 4: Simplify right side
    108,750.75x = 23,454,003,609
  5. Step 5: Solve for x
    x = 23,454,003,609/108,750.75
  6. Step 6: Final answer
    x = 215,667.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.