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Finding the Third Proportional to 91,522 and 187,505

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Solution

The third proportional to 91,522 and 187,505 is: 384,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,522 : 187,505 = 187,505 : x
  2. Step 2: Convert to fraction form
    91,522/187,505 = 187,505/x
  3. Step 3: Cross multiply
    91,522x = 187,505 × 187,505
  4. Step 4: Simplify right side
    91,522x = 35,158,125,025
  5. Step 5: Solve for x
    x = 35,158,125,025/91,522
  6. Step 6: Final answer
    x = 384,149.44

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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.