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Finding the Third Proportional to 60,408 and 99,837

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Solution

The third proportional to 60,408 and 99,837 is: 165,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,408 : 99,837 = 99,837 : x
  2. Step 2: Convert to fraction form
    60,408/99,837 = 99,837/x
  3. Step 3: Cross multiply
    60,408x = 99,837 × 99,837
  4. Step 4: Simplify right side
    60,408x = 9,967,426,569
  5. Step 5: Solve for x
    x = 9,967,426,569/60,408
  6. Step 6: Final answer
    x = 165,001.76

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.