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Finding the Third Proportional to 69,006.75 and 147,850.50

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Solution

The third proportional to 69,006.75 and 147,850.50 is: 316,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,006.75 : 147,850.50 = 147,850.50 : x
  2. Step 2: Convert to fraction form
    69,006.75/147,850.50 = 147,850.50/x
  3. Step 3: Cross multiply
    69,006.75x = 147,850.50 × 147,850.50
  4. Step 4: Simplify right side
    69,006.75x = 21,859,770,350.25
  5. Step 5: Solve for x
    x = 21,859,770,350.25/69,006.75
  6. Step 6: Final answer
    x = 316,777.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.