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Finding the Third Proportional to 48,621 and 100,617

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Solution

The third proportional to 48,621 and 100,617 is: 208,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,621 : 100,617 = 100,617 : x
  2. Step 2: Convert to fraction form
    48,621/100,617 = 100,617/x
  3. Step 3: Cross multiply
    48,621x = 100,617 × 100,617
  4. Step 4: Simplify right side
    48,621x = 10,123,780,689
  5. Step 5: Solve for x
    x = 10,123,780,689/48,621
  6. Step 6: Final answer
    x = 208,218.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.