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Finding the Third Proportional to 67,948 and 102,948

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Solution

The third proportional to 67,948 and 102,948 is: 155,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,948 : 102,948 = 102,948 : x
  2. Step 2: Convert to fraction form
    67,948/102,948 = 102,948/x
  3. Step 3: Cross multiply
    67,948x = 102,948 × 102,948
  4. Step 4: Simplify right side
    67,948x = 10,598,290,704
  5. Step 5: Solve for x
    x = 10,598,290,704/67,948
  6. Step 6: Final answer
    x = 155,976.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.