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Finding the Third Proportional to 137,014.88 and 204,963.75

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Solution

The third proportional to 137,014.88 and 204,963.75 is: 306,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,014.88 : 204,963.75 = 204,963.75 : x
  2. Step 2: Convert to fraction form
    137,014.88/204,963.75 = 204,963.75/x
  3. Step 3: Cross multiply
    137,014.88x = 204,963.75 × 204,963.75
  4. Step 4: Simplify right side
    137,014.88x = 42,010,138,814.06
  5. Step 5: Solve for x
    x = 42,010,138,814.06/137,014.88
  6. Step 6: Final answer
    x = 306,610.06

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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.