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Finding the Third Proportional to 69,646.50 and 104,640.19

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Solution

The third proportional to 69,646.50 and 104,640.19 is: 157,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,646.50 : 104,640.19 = 104,640.19 : x
  2. Step 2: Convert to fraction form
    69,646.50/104,640.19 = 104,640.19/x
  3. Step 3: Cross multiply
    69,646.50x = 104,640.19 × 104,640.19
  4. Step 4: Simplify right side
    69,646.50x = 10,949,568,840.04
  5. Step 5: Solve for x
    x = 10,949,568,840.04/69,646.50
  6. Step 6: Final answer
    x = 157,216.35

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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.