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Finding the Third Proportional to 61,400 and 92,100

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Solution

The third proportional to 61,400 and 92,100 is: 138,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,400 : 92,100 = 92,100 : x
  2. Step 2: Convert to fraction form
    61,400/92,100 = 92,100/x
  3. Step 3: Cross multiply
    61,400x = 92,100 × 92,100
  4. Step 4: Simplify right side
    61,400x = 8,482,410,000
  5. Step 5: Solve for x
    x = 8,482,410,000/61,400
  6. Step 6: Final answer
    x = 138,150

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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.