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Finding the Third Proportional to 69,344 and 146,952

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Solution

The third proportional to 69,344 and 146,952 is: 311,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,344 : 146,952 = 146,952 : x
  2. Step 2: Convert to fraction form
    69,344/146,952 = 146,952/x
  3. Step 3: Cross multiply
    69,344x = 146,952 × 146,952
  4. Step 4: Simplify right side
    69,344x = 21,594,890,304
  5. Step 5: Solve for x
    x = 21,594,890,304/69,344
  6. Step 6: Final answer
    x = 311,416.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.