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Finding the Third Proportional to 69,648 and 104,473.50

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Solution

The third proportional to 69,648 and 104,473.50 is: 156,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,648 : 104,473.50 = 104,473.50 : x
  2. Step 2: Convert to fraction form
    69,648/104,473.50 = 104,473.50/x
  3. Step 3: Cross multiply
    69,648x = 104,473.50 × 104,473.50
  4. Step 4: Simplify right side
    69,648x = 10,914,712,202.25
  5. Step 5: Solve for x
    x = 10,914,712,202.25/69,648
  6. Step 6: Final answer
    x = 156,712.50

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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.