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Finding the Third Proportional to 131,242 and 203,605

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Solution

The third proportional to 131,242 and 203,605 is: 315,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,242 : 203,605 = 203,605 : x
  2. Step 2: Convert to fraction form
    131,242/203,605 = 203,605/x
  3. Step 3: Cross multiply
    131,242x = 203,605 × 203,605
  4. Step 4: Simplify right side
    131,242x = 41,454,996,025
  5. Step 5: Solve for x
    x = 41,454,996,025/131,242
  6. Step 6: Final answer
    x = 315,866.84

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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.