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Finding the Third Proportional to 69,937.50 and 104,882.25

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Solution

The third proportional to 69,937.50 and 104,882.25 is: 157,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,937.50 : 104,882.25 = 104,882.25 : x
  2. Step 2: Convert to fraction form
    69,937.50/104,882.25 = 104,882.25/x
  3. Step 3: Cross multiply
    69,937.50x = 104,882.25 × 104,882.25
  4. Step 4: Simplify right side
    69,937.50x = 11,000,286,365.06
  5. Step 5: Solve for x
    x = 11,000,286,365.06/69,937.50
  6. Step 6: Final answer
    x = 157,287.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.