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Finding the Third Proportional to 61,494 and 83,462

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Solution

The third proportional to 61,494 and 83,462 is: 113,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,494 : 83,462 = 83,462 : x
  2. Step 2: Convert to fraction form
    61,494/83,462 = 83,462/x
  3. Step 3: Cross multiply
    61,494x = 83,462 × 83,462
  4. Step 4: Simplify right side
    61,494x = 6,965,905,444
  5. Step 5: Solve for x
    x = 6,965,905,444/61,494
  6. Step 6: Final answer
    x = 113,277.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.