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Finding the Third Proportional to 49,439.25 and 109,557

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Solution

The third proportional to 49,439.25 and 109,557 is: 242,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,439.25 : 109,557 = 109,557 : x
  2. Step 2: Convert to fraction form
    49,439.25/109,557 = 109,557/x
  3. Step 3: Cross multiply
    49,439.25x = 109,557 × 109,557
  4. Step 4: Simplify right side
    49,439.25x = 12,002,736,249
  5. Step 5: Solve for x
    x = 12,002,736,249/49,439.25
  6. Step 6: Final answer
    x = 242,777.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.