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Finding the Third Proportional to 101,525.25 and 148,824.75

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Solution

The third proportional to 101,525.25 and 148,824.75 is: 218,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,525.25 : 148,824.75 = 148,824.75 : x
  2. Step 2: Convert to fraction form
    101,525.25/148,824.75 = 148,824.75/x
  3. Step 3: Cross multiply
    101,525.25x = 148,824.75 × 148,824.75
  4. Step 4: Simplify right side
    101,525.25x = 22,148,806,212.56
  5. Step 5: Solve for x
    x = 22,148,806,212.56/101,525.25
  6. Step 6: Final answer
    x = 218,160.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.