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Finding the Third Proportional to 133,058 and 199,062

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Solution

The third proportional to 133,058 and 199,062 is: 297,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058 : 199,062 = 199,062 : x
  2. Step 2: Convert to fraction form
    133,058/199,062 = 199,062/x
  3. Step 3: Cross multiply
    133,058x = 199,062 × 199,062
  4. Step 4: Simplify right side
    133,058x = 39,625,679,844
  5. Step 5: Solve for x
    x = 39,625,679,844/133,058
  6. Step 6: Final answer
    x = 297,807.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.