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Finding the Third Proportional to 42,400 and 92,090

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Solution

The third proportional to 42,400 and 92,090 is: 200,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,400 : 92,090 = 92,090 : x
  2. Step 2: Convert to fraction form
    42,400/92,090 = 92,090/x
  3. Step 3: Cross multiply
    42,400x = 92,090 × 92,090
  4. Step 4: Simplify right side
    42,400x = 8,480,568,100
  5. Step 5: Solve for x
    x = 8,480,568,100/42,400
  6. Step 6: Final answer
    x = 200,013.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.