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Finding the Third Proportional to 49,056.75 and 105,963.75

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Solution

The third proportional to 49,056.75 and 105,963.75 is: 228,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,056.75 : 105,963.75 = 105,963.75 : x
  2. Step 2: Convert to fraction form
    49,056.75/105,963.75 = 105,963.75/x
  3. Step 3: Cross multiply
    49,056.75x = 105,963.75 × 105,963.75
  4. Step 4: Simplify right side
    49,056.75x = 11,228,316,314.06
  5. Step 5: Solve for x
    x = 11,228,316,314.06/49,056.75
  6. Step 6: Final answer
    x = 228,884.23

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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.