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Finding the Third Proportional to 91,840 and 187,576

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Solution

The third proportional to 91,840 and 187,576 is: 383,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,840 : 187,576 = 187,576 : x
  2. Step 2: Convert to fraction form
    91,840/187,576 = 187,576/x
  3. Step 3: Cross multiply
    91,840x = 187,576 × 187,576
  4. Step 4: Simplify right side
    91,840x = 35,184,755,776
  5. Step 5: Solve for x
    x = 35,184,755,776/91,840
  6. Step 6: Final answer
    x = 383,109.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.