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Finding the Third Proportional to 93,685.50 and 142,861.50

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Solution

The third proportional to 93,685.50 and 142,861.50 is: 217,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,685.50 : 142,861.50 = 142,861.50 : x
  2. Step 2: Convert to fraction form
    93,685.50/142,861.50 = 142,861.50/x
  3. Step 3: Cross multiply
    93,685.50x = 142,861.50 × 142,861.50
  4. Step 4: Simplify right side
    93,685.50x = 20,409,408,182.25
  5. Step 5: Solve for x
    x = 20,409,408,182.25/93,685.50
  6. Step 6: Final answer
    x = 217,850.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.