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Finding the Third Proportional to 61,011 and 92,690

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Solution

The third proportional to 61,011 and 92,690 is: 140,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,011 : 92,690 = 92,690 : x
  2. Step 2: Convert to fraction form
    61,011/92,690 = 92,690/x
  3. Step 3: Cross multiply
    61,011x = 92,690 × 92,690
  4. Step 4: Simplify right side
    61,011x = 8,591,436,100
  5. Step 5: Solve for x
    x = 8,591,436,100/61,011
  6. Step 6: Final answer
    x = 140,817.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.