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Finding the Third Proportional to 48,964 and 100,826

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Solution

The third proportional to 48,964 and 100,826 is: 207,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,964 : 100,826 = 100,826 : x
  2. Step 2: Convert to fraction form
    48,964/100,826 = 100,826/x
  3. Step 3: Cross multiply
    48,964x = 100,826 × 100,826
  4. Step 4: Simplify right side
    48,964x = 10,165,882,276
  5. Step 5: Solve for x
    x = 10,165,882,276/48,964
  6. Step 6: Final answer
    x = 207,619.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.