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Finding the Third Proportional to 48,181.50 and 102,195

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Solution

The third proportional to 48,181.50 and 102,195 is: 216,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,181.50 : 102,195 = 102,195 : x
  2. Step 2: Convert to fraction form
    48,181.50/102,195 = 102,195/x
  3. Step 3: Cross multiply
    48,181.50x = 102,195 × 102,195
  4. Step 4: Simplify right side
    48,181.50x = 10,443,818,025
  5. Step 5: Solve for x
    x = 10,443,818,025/48,181.50
  6. Step 6: Final answer
    x = 216,759.92

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Why These Related Problems?

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