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Finding the Third Proportional to 49,517 and 106,924.50

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Solution

The third proportional to 49,517 and 106,924.50 is: 230,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,517 : 106,924.50 = 106,924.50 : x
  2. Step 2: Convert to fraction form
    49,517/106,924.50 = 106,924.50/x
  3. Step 3: Cross multiply
    49,517x = 106,924.50 × 106,924.50
  4. Step 4: Simplify right side
    49,517x = 11,432,848,700.25
  5. Step 5: Solve for x
    x = 11,432,848,700.25/49,517
  6. Step 6: Final answer
    x = 230,887.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.