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Finding the Third Proportional to 42,264 and 59,090

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Solution

The third proportional to 42,264 and 59,090 is: 82,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,264 : 59,090 = 59,090 : x
  2. Step 2: Convert to fraction form
    42,264/59,090 = 59,090/x
  3. Step 3: Cross multiply
    42,264x = 59,090 × 59,090
  4. Step 4: Simplify right side
    42,264x = 3,491,628,100
  5. Step 5: Solve for x
    x = 3,491,628,100/42,264
  6. Step 6: Final answer
    x = 82,614.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.