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Finding the Third Proportional to 126,910.50 and 185,991

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Solution

The third proportional to 126,910.50 and 185,991 is: 272,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,910.50 : 185,991 = 185,991 : x
  2. Step 2: Convert to fraction form
    126,910.50/185,991 = 185,991/x
  3. Step 3: Cross multiply
    126,910.50x = 185,991 × 185,991
  4. Step 4: Simplify right side
    126,910.50x = 34,592,652,081
  5. Step 5: Solve for x
    x = 34,592,652,081/126,910.50
  6. Step 6: Final answer
    x = 272,575.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.