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Finding the Third Proportional to 40,191 and 59,113.50

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Solution

The third proportional to 40,191 and 59,113.50 is: 86,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,191 : 59,113.50 = 59,113.50 : x
  2. Step 2: Convert to fraction form
    40,191/59,113.50 = 59,113.50/x
  3. Step 3: Cross multiply
    40,191x = 59,113.50 × 59,113.50
  4. Step 4: Simplify right side
    40,191x = 3,494,405,882.25
  5. Step 5: Solve for x
    x = 3,494,405,882.25/40,191
  6. Step 6: Final answer
    x = 86,944.98

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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.