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Finding the Third Proportional to 106,166.25 and 154,867.50

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Solution

The third proportional to 106,166.25 and 154,867.50 is: 225,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166.25 : 154,867.50 = 154,867.50 : x
  2. Step 2: Convert to fraction form
    106,166.25/154,867.50 = 154,867.50/x
  3. Step 3: Cross multiply
    106,166.25x = 154,867.50 × 154,867.50
  4. Step 4: Simplify right side
    106,166.25x = 23,983,942,556.25
  5. Step 5: Solve for x
    x = 23,983,942,556.25/106,166.25
  6. Step 6: Final answer
    x = 225,909.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.