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Finding the Third Proportional to 107,761.50 and 158,510

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Solution

The third proportional to 107,761.50 and 158,510 is: 233,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,761.50 : 158,510 = 158,510 : x
  2. Step 2: Convert to fraction form
    107,761.50/158,510 = 158,510/x
  3. Step 3: Cross multiply
    107,761.50x = 158,510 × 158,510
  4. Step 4: Simplify right side
    107,761.50x = 25,125,420,100
  5. Step 5: Solve for x
    x = 25,125,420,100/107,761.50
  6. Step 6: Final answer
    x = 233,157.67

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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.