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Finding the Third Proportional to 48,220 and 100,080

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Solution

The third proportional to 48,220 and 100,080 is: 207,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,220 : 100,080 = 100,080 : x
  2. Step 2: Convert to fraction form
    48,220/100,080 = 100,080/x
  3. Step 3: Cross multiply
    48,220x = 100,080 × 100,080
  4. Step 4: Simplify right side
    48,220x = 10,016,006,400
  5. Step 5: Solve for x
    x = 10,016,006,400/48,220
  6. Step 6: Final answer
    x = 207,714.77

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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.