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Finding the Third Proportional to 69,154.88 and 104,367.38

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Solution

The third proportional to 69,154.88 and 104,367.38 is: 157,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,154.88 : 104,367.38 = 104,367.38 : x
  2. Step 2: Convert to fraction form
    69,154.88/104,367.38 = 104,367.38/x
  3. Step 3: Cross multiply
    69,154.88x = 104,367.38 × 104,367.38
  4. Step 4: Simplify right side
    69,154.88x = 10,892,548,964.39
  5. Step 5: Solve for x
    x = 10,892,548,964.39/69,154.88
  6. Step 6: Final answer
    x = 157,509.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.