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Finding the Third Proportional to 81,886.50 and 173,615

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Solution

The third proportional to 81,886.50 and 173,615 is: 368,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.50 : 173,615 = 173,615 : x
  2. Step 2: Convert to fraction form
    81,886.50/173,615 = 173,615/x
  3. Step 3: Cross multiply
    81,886.50x = 173,615 × 173,615
  4. Step 4: Simplify right side
    81,886.50x = 30,142,168,225
  5. Step 5: Solve for x
    x = 30,142,168,225/81,886.50
  6. Step 6: Final answer
    x = 368,096.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.