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Finding the Third Proportional to 48,318 and 102,060

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Solution

The third proportional to 48,318 and 102,060 is: 215,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,318 : 102,060 = 102,060 : x
  2. Step 2: Convert to fraction form
    48,318/102,060 = 102,060/x
  3. Step 3: Cross multiply
    48,318x = 102,060 × 102,060
  4. Step 4: Simplify right side
    48,318x = 10,416,243,600
  5. Step 5: Solve for x
    x = 10,416,243,600/48,318
  6. Step 6: Final answer
    x = 215,576.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.