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Finding the Third Proportional to 75,478 and 159,948

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Solution

The third proportional to 75,478 and 159,948 is: 338,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478 : 159,948 = 159,948 : x
  2. Step 2: Convert to fraction form
    75,478/159,948 = 159,948/x
  3. Step 3: Cross multiply
    75,478x = 159,948 × 159,948
  4. Step 4: Simplify right side
    75,478x = 25,583,362,704
  5. Step 5: Solve for x
    x = 25,583,362,704/75,478
  6. Step 6: Final answer
    x = 338,951.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.