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Finding the Third Proportional to 45,662 and 92,580

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Solution

The third proportional to 45,662 and 92,580 is: 187,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,662 : 92,580 = 92,580 : x
  2. Step 2: Convert to fraction form
    45,662/92,580 = 92,580/x
  3. Step 3: Cross multiply
    45,662x = 92,580 × 92,580
  4. Step 4: Simplify right side
    45,662x = 8,571,056,400
  5. Step 5: Solve for x
    x = 8,571,056,400/45,662
  6. Step 6: Final answer
    x = 187,706.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.