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Finding the Third Proportional to 137,606.25 and 279,086.25

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Solution

The third proportional to 137,606.25 and 279,086.25 is: 566,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,606.25 : 279,086.25 = 279,086.25 : x
  2. Step 2: Convert to fraction form
    137,606.25/279,086.25 = 279,086.25/x
  3. Step 3: Cross multiply
    137,606.25x = 279,086.25 × 279,086.25
  4. Step 4: Simplify right side
    137,606.25x = 77,889,134,939.06
  5. Step 5: Solve for x
    x = 77,889,134,939.06/137,606.25
  6. Step 6: Final answer
    x = 566,029.05

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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.