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Finding the Third Proportional to 106,448.50 and 148,006.75

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Solution

The third proportional to 106,448.50 and 148,006.75 is: 205,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,448.50 : 148,006.75 = 148,006.75 : x
  2. Step 2: Convert to fraction form
    106,448.50/148,006.75 = 148,006.75/x
  3. Step 3: Cross multiply
    106,448.50x = 148,006.75 × 148,006.75
  4. Step 4: Simplify right side
    106,448.50x = 21,905,998,045.56
  5. Step 5: Solve for x
    x = 21,905,998,045.56/106,448.50
  6. Step 6: Final answer
    x = 205,789.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.