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Finding the Third Proportional to 101,525 and 148,825

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Solution

The third proportional to 101,525 and 148,825 is: 218,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,525 : 148,825 = 148,825 : x
  2. Step 2: Convert to fraction form
    101,525/148,825 = 148,825/x
  3. Step 3: Cross multiply
    101,525x = 148,825 × 148,825
  4. Step 4: Simplify right side
    101,525x = 22,148,880,625
  5. Step 5: Solve for x
    x = 22,148,880,625/101,525
  6. Step 6: Final answer
    x = 218,161.84

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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.