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Finding the Third Proportional to 91,524 and 187,509

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Solution

The third proportional to 91,524 and 187,509 is: 384,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,524 : 187,509 = 187,509 : x
  2. Step 2: Convert to fraction form
    91,524/187,509 = 187,509/x
  3. Step 3: Cross multiply
    91,524x = 187,509 × 187,509
  4. Step 4: Simplify right side
    91,524x = 35,159,625,081
  5. Step 5: Solve for x
    x = 35,159,625,081/91,524
  6. Step 6: Final answer
    x = 384,157.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.