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Finding the Third Proportional to 42,090.75 and 92,079

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Solution

The third proportional to 42,090.75 and 92,079 is: 201,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,090.75 : 92,079 = 92,079 : x
  2. Step 2: Convert to fraction form
    42,090.75/92,079 = 92,079/x
  3. Step 3: Cross multiply
    42,090.75x = 92,079 × 92,079
  4. Step 4: Simplify right side
    42,090.75x = 8,478,542,241
  5. Step 5: Solve for x
    x = 8,478,542,241/42,090.75
  6. Step 6: Final answer
    x = 201,434.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.