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Finding the Third Proportional to 106,452.50 and 148,012.75

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Solution

The third proportional to 106,452.50 and 148,012.75 is: 205,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.50 : 148,012.75 = 148,012.75 : x
  2. Step 2: Convert to fraction form
    106,452.50/148,012.75 = 148,012.75/x
  3. Step 3: Cross multiply
    106,452.50x = 148,012.75 × 148,012.75
  4. Step 4: Simplify right side
    106,452.50x = 21,907,774,162.56
  5. Step 5: Solve for x
    x = 21,907,774,162.56/106,452.50
  6. Step 6: Final answer
    x = 205,798.59

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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.