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Finding the Third Proportional to 83,461.50 and 105,750

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Solution

The third proportional to 83,461.50 and 105,750 is: 133,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.50 : 105,750 = 105,750 : x
  2. Step 2: Convert to fraction form
    83,461.50/105,750 = 105,750/x
  3. Step 3: Cross multiply
    83,461.50x = 105,750 × 105,750
  4. Step 4: Simplify right side
    83,461.50x = 11,183,062,500
  5. Step 5: Solve for x
    x = 11,183,062,500/83,461.50
  6. Step 6: Final answer
    x = 133,990.67

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.