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Finding the Third Proportional to 48,926 and 104,959

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Solution

The third proportional to 48,926 and 104,959 is: 225,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,926 : 104,959 = 104,959 : x
  2. Step 2: Convert to fraction form
    48,926/104,959 = 104,959/x
  3. Step 3: Cross multiply
    48,926x = 104,959 × 104,959
  4. Step 4: Simplify right side
    48,926x = 11,016,391,681
  5. Step 5: Solve for x
    x = 11,016,391,681/48,926
  6. Step 6: Final answer
    x = 225,164.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.