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Finding the Third Proportional to 48,657 and 100,959

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Solution

The third proportional to 48,657 and 100,959 is: 209,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657 : 100,959 = 100,959 : x
  2. Step 2: Convert to fraction form
    48,657/100,959 = 100,959/x
  3. Step 3: Cross multiply
    48,657x = 100,959 × 100,959
  4. Step 4: Simplify right side
    48,657x = 10,192,719,681
  5. Step 5: Solve for x
    x = 10,192,719,681/48,657
  6. Step 6: Final answer
    x = 209,481.05

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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.