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Finding the Third Proportional to 48,353 and 73,919

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Solution

The third proportional to 48,353 and 73,919 is: 113,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,353 : 73,919 = 73,919 : x
  2. Step 2: Convert to fraction form
    48,353/73,919 = 73,919/x
  3. Step 3: Cross multiply
    48,353x = 73,919 × 73,919
  4. Step 4: Simplify right side
    48,353x = 5,464,018,561
  5. Step 5: Solve for x
    x = 5,464,018,561/48,353
  6. Step 6: Final answer
    x = 113,002.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.