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Finding the Third Proportional to 69,344 and 147,904

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Solution

The third proportional to 69,344 and 147,904 is: 315,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,344 : 147,904 = 147,904 : x
  2. Step 2: Convert to fraction form
    69,344/147,904 = 147,904/x
  3. Step 3: Cross multiply
    69,344x = 147,904 × 147,904
  4. Step 4: Simplify right side
    69,344x = 21,875,593,216
  5. Step 5: Solve for x
    x = 21,875,593,216/69,344
  6. Step 6: Final answer
    x = 315,464.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.