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Finding the Third Proportional to 108,739 and 158,912.50

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Solution

The third proportional to 108,739 and 158,912.50 is: 232,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,739 : 158,912.50 = 158,912.50 : x
  2. Step 2: Convert to fraction form
    108,739/158,912.50 = 158,912.50/x
  3. Step 3: Cross multiply
    108,739x = 158,912.50 × 158,912.50
  4. Step 4: Simplify right side
    108,739x = 25,253,182,656.25
  5. Step 5: Solve for x
    x = 25,253,182,656.25/108,739
  6. Step 6: Final answer
    x = 232,236.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.