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Finding the Third Proportional to 50,974 and 74,959

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Solution

The third proportional to 50,974 and 74,959 is: 110,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974 : 74,959 = 74,959 : x
  2. Step 2: Convert to fraction form
    50,974/74,959 = 74,959/x
  3. Step 3: Cross multiply
    50,974x = 74,959 × 74,959
  4. Step 4: Simplify right side
    50,974x = 5,618,851,681
  5. Step 5: Solve for x
    x = 5,618,851,681/50,974
  6. Step 6: Final answer
    x = 110,229.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.