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Finding the Third Proportional to 69,049.75 and 106,627.25

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Solution

The third proportional to 69,049.75 and 106,627.25 is: 164,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,049.75 : 106,627.25 = 106,627.25 : x
  2. Step 2: Convert to fraction form
    69,049.75/106,627.25 = 106,627.25/x
  3. Step 3: Cross multiply
    69,049.75x = 106,627.25 × 106,627.25
  4. Step 4: Simplify right side
    69,049.75x = 11,369,370,442.56
  5. Step 5: Solve for x
    x = 11,369,370,442.56/69,049.75
  6. Step 6: Final answer
    x = 164,654.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.