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Finding the Third Proportional to 124,185.25 and 196,727.75

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Solution

The third proportional to 124,185.25 and 196,727.75 is: 311,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,185.25 : 196,727.75 = 196,727.75 : x
  2. Step 2: Convert to fraction form
    124,185.25/196,727.75 = 196,727.75/x
  3. Step 3: Cross multiply
    124,185.25x = 196,727.75 × 196,727.75
  4. Step 4: Simplify right side
    124,185.25x = 38,701,807,620.06
  5. Step 5: Solve for x
    x = 38,701,807,620.06/124,185.25
  6. Step 6: Final answer
    x = 311,645.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.