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Finding the Third Proportional to 108,575.25 and 156,633.75

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Solution

The third proportional to 108,575.25 and 156,633.75 is: 225,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,575.25 : 156,633.75 = 156,633.75 : x
  2. Step 2: Convert to fraction form
    108,575.25/156,633.75 = 156,633.75/x
  3. Step 3: Cross multiply
    108,575.25x = 156,633.75 × 156,633.75
  4. Step 4: Simplify right side
    108,575.25x = 24,534,131,639.06
  5. Step 5: Solve for x
    x = 24,534,131,639.06/108,575.25
  6. Step 6: Final answer
    x = 225,964.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.