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Finding the Third Proportional to 137,605.08 and 279,082.97

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Solution

The third proportional to 137,605.08 and 279,082.97 is: 566,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,605.08 : 279,082.97 = 279,082.97 : x
  2. Step 2: Convert to fraction form
    137,605.08/279,082.97 = 279,082.97/x
  3. Step 3: Cross multiply
    137,605.08x = 279,082.97 × 279,082.97
  4. Step 4: Simplify right side
    137,605.08x = 77,887,303,446.31
  5. Step 5: Solve for x
    x = 77,887,303,446.31/137,605.08
  6. Step 6: Final answer
    x = 566,020.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.