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Finding the Third Proportional to 48,540 and 102,865

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Solution

The third proportional to 48,540 and 102,865 is: 217,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,540 : 102,865 = 102,865 : x
  2. Step 2: Convert to fraction form
    48,540/102,865 = 102,865/x
  3. Step 3: Cross multiply
    48,540x = 102,865 × 102,865
  4. Step 4: Simplify right side
    48,540x = 10,581,208,225
  5. Step 5: Solve for x
    x = 10,581,208,225/48,540
  6. Step 6: Final answer
    x = 217,989.46

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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.