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Finding the Third Proportional to 108,100.50 and 161,649

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Solution

The third proportional to 108,100.50 and 161,649 is: 241,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,100.50 : 161,649 = 161,649 : x
  2. Step 2: Convert to fraction form
    108,100.50/161,649 = 161,649/x
  3. Step 3: Cross multiply
    108,100.50x = 161,649 × 161,649
  4. Step 4: Simplify right side
    108,100.50x = 26,130,399,201
  5. Step 5: Solve for x
    x = 26,130,399,201/108,100.50
  6. Step 6: Final answer
    x = 241,723.20

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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.