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Finding the Third Proportional to 69,141 and 150,795.75

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Solution

The third proportional to 69,141 and 150,795.75 is: 328,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,141 : 150,795.75 = 150,795.75 : x
  2. Step 2: Convert to fraction form
    69,141/150,795.75 = 150,795.75/x
  3. Step 3: Cross multiply
    69,141x = 150,795.75 × 150,795.75
  4. Step 4: Simplify right side
    69,141x = 22,739,358,218.06
  5. Step 5: Solve for x
    x = 22,739,358,218.06/69,141
  6. Step 6: Final answer
    x = 328,883.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.