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Finding the Third Proportional to 40,219 and 59,158

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Solution

The third proportional to 40,219 and 59,158 is: 87,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,219 : 59,158 = 59,158 : x
  2. Step 2: Convert to fraction form
    40,219/59,158 = 59,158/x
  3. Step 3: Cross multiply
    40,219x = 59,158 × 59,158
  4. Step 4: Simplify right side
    40,219x = 3,499,668,964
  5. Step 5: Solve for x
    x = 3,499,668,964/40,219
  6. Step 6: Final answer
    x = 87,015.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.