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Finding the Third Proportional to 42,064 and 92,390

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Solution

The third proportional to 42,064 and 92,390 is: 202,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,064 : 92,390 = 92,390 : x
  2. Step 2: Convert to fraction form
    42,064/92,390 = 92,390/x
  3. Step 3: Cross multiply
    42,064x = 92,390 × 92,390
  4. Step 4: Simplify right side
    42,064x = 8,535,912,100
  5. Step 5: Solve for x
    x = 8,535,912,100/42,064
  6. Step 6: Final answer
    x = 202,926.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.