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Finding the Third Proportional to 69,933 and 104,875.50

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Solution

The third proportional to 69,933 and 104,875.50 is: 157,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,933 : 104,875.50 = 104,875.50 : x
  2. Step 2: Convert to fraction form
    69,933/104,875.50 = 104,875.50/x
  3. Step 3: Cross multiply
    69,933x = 104,875.50 × 104,875.50
  4. Step 4: Simplify right side
    69,933x = 10,998,870,500.25
  5. Step 5: Solve for x
    x = 10,998,870,500.25/69,933
  6. Step 6: Final answer
    x = 157,277.26

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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.