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Finding the Third Proportional to 49,361.25 and 106,602.75

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Solution

The third proportional to 49,361.25 and 106,602.75 is: 230,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,361.25 : 106,602.75 = 106,602.75 : x
  2. Step 2: Convert to fraction form
    49,361.25/106,602.75 = 106,602.75/x
  3. Step 3: Cross multiply
    49,361.25x = 106,602.75 × 106,602.75
  4. Step 4: Simplify right side
    49,361.25x = 11,364,146,307.56
  5. Step 5: Solve for x
    x = 11,364,146,307.56/49,361.25
  6. Step 6: Final answer
    x = 230,224.04

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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.