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Finding the Third Proportional to 49,902.75 and 107,716.50

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Solution

The third proportional to 49,902.75 and 107,716.50 is: 232,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.75 : 107,716.50 = 107,716.50 : x
  2. Step 2: Convert to fraction form
    49,902.75/107,716.50 = 107,716.50/x
  3. Step 3: Cross multiply
    49,902.75x = 107,716.50 × 107,716.50
  4. Step 4: Simplify right side
    49,902.75x = 11,602,844,372.25
  5. Step 5: Solve for x
    x = 11,602,844,372.25/49,902.75
  6. Step 6: Final answer
    x = 232,509.12

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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.