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Finding the Third Proportional to 63,992.25 and 137,643.75

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Solution

The third proportional to 63,992.25 and 137,643.75 is: 296,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,992.25 : 137,643.75 = 137,643.75 : x
  2. Step 2: Convert to fraction form
    63,992.25/137,643.75 = 137,643.75/x
  3. Step 3: Cross multiply
    63,992.25x = 137,643.75 × 137,643.75
  4. Step 4: Simplify right side
    63,992.25x = 18,945,801,914.06
  5. Step 5: Solve for x
    x = 18,945,801,914.06/63,992.25
  6. Step 6: Final answer
    x = 296,064.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.