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Finding the Third Proportional to 61,483 and 92,225

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Solution

The third proportional to 61,483 and 92,225 is: 138,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,483 : 92,225 = 92,225 : x
  2. Step 2: Convert to fraction form
    61,483/92,225 = 92,225/x
  3. Step 3: Cross multiply
    61,483x = 92,225 × 92,225
  4. Step 4: Simplify right side
    61,483x = 8,505,450,625
  5. Step 5: Solve for x
    x = 8,505,450,625/61,483
  6. Step 6: Final answer
    x = 138,338.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.