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Finding the Third Proportional to 91,019.50 and 142,469

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Solution

The third proportional to 91,019.50 and 142,469 is: 223,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,019.50 : 142,469 = 142,469 : x
  2. Step 2: Convert to fraction form
    91,019.50/142,469 = 142,469/x
  3. Step 3: Cross multiply
    91,019.50x = 142,469 × 142,469
  4. Step 4: Simplify right side
    91,019.50x = 20,297,415,961
  5. Step 5: Solve for x
    x = 20,297,415,961/91,019.50
  6. Step 6: Final answer
    x = 223,000.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.