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Finding the Third Proportional to 49,286.25 and 77,214.25

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Solution

The third proportional to 49,286.25 and 77,214.25 is: 120,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286.25 : 77,214.25 = 77,214.25 : x
  2. Step 2: Convert to fraction form
    49,286.25/77,214.25 = 77,214.25/x
  3. Step 3: Cross multiply
    49,286.25x = 77,214.25 × 77,214.25
  4. Step 4: Simplify right side
    49,286.25x = 5,962,040,403.06
  5. Step 5: Solve for x
    x = 5,962,040,403.06/49,286.25
  6. Step 6: Final answer
    x = 120,967.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.