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Finding the Third Proportional to 91,977 and 142,476

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Solution

The third proportional to 91,977 and 142,476 is: 220,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,977 : 142,476 = 142,476 : x
  2. Step 2: Convert to fraction form
    91,977/142,476 = 142,476/x
  3. Step 3: Cross multiply
    91,977x = 142,476 × 142,476
  4. Step 4: Simplify right side
    91,977x = 20,299,410,576
  5. Step 5: Solve for x
    x = 20,299,410,576/91,977
  6. Step 6: Final answer
    x = 220,700.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.