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Finding the Third Proportional to 61,738 and 92,200

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Solution

The third proportional to 61,738 and 92,200 is: 137,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,738 : 92,200 = 92,200 : x
  2. Step 2: Convert to fraction form
    61,738/92,200 = 92,200/x
  3. Step 3: Cross multiply
    61,738x = 92,200 × 92,200
  4. Step 4: Simplify right side
    61,738x = 8,500,840,000
  5. Step 5: Solve for x
    x = 8,500,840,000/61,738
  6. Step 6: Final answer
    x = 137,692.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.