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Finding the Third Proportional to 48,210 and 100,068

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Solution

The third proportional to 48,210 and 100,068 is: 207,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,210 : 100,068 = 100,068 : x
  2. Step 2: Convert to fraction form
    48,210/100,068 = 100,068/x
  3. Step 3: Cross multiply
    48,210x = 100,068 × 100,068
  4. Step 4: Simplify right side
    48,210x = 10,013,604,624
  5. Step 5: Solve for x
    x = 10,013,604,624/48,210
  6. Step 6: Final answer
    x = 207,708.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.