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Finding the Third Proportional to 82,729.50 and 110,940

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Solution

The third proportional to 82,729.50 and 110,940 is: 148,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,729.50 : 110,940 = 110,940 : x
  2. Step 2: Convert to fraction form
    82,729.50/110,940 = 110,940/x
  3. Step 3: Cross multiply
    82,729.50x = 110,940 × 110,940
  4. Step 4: Simplify right side
    82,729.50x = 12,307,683,600
  5. Step 5: Solve for x
    x = 12,307,683,600/82,729.50
  6. Step 6: Final answer
    x = 148,770.19

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.