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Finding the Third Proportional to 40,217 and 59,155

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Solution

The third proportional to 40,217 and 59,155 is: 87,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,217 : 59,155 = 59,155 : x
  2. Step 2: Convert to fraction form
    40,217/59,155 = 59,155/x
  3. Step 3: Cross multiply
    40,217x = 59,155 × 59,155
  4. Step 4: Simplify right side
    40,217x = 3,499,314,025
  5. Step 5: Solve for x
    x = 3,499,314,025/40,217
  6. Step 6: Final answer
    x = 87,010.82

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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.