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Finding the Third Proportional to 40,158 and 59,886

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Solution

The third proportional to 40,158 and 59,886 is: 89,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,158 : 59,886 = 59,886 : x
  2. Step 2: Convert to fraction form
    40,158/59,886 = 59,886/x
  3. Step 3: Cross multiply
    40,158x = 59,886 × 59,886
  4. Step 4: Simplify right side
    40,158x = 3,586,332,996
  5. Step 5: Solve for x
    x = 3,586,332,996/40,158
  6. Step 6: Final answer
    x = 89,305.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.