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Finding the Third Proportional to 69,273 and 107,473.50

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Solution

The third proportional to 69,273 and 107,473.50 is: 166,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,273 : 107,473.50 = 107,473.50 : x
  2. Step 2: Convert to fraction form
    69,273/107,473.50 = 107,473.50/x
  3. Step 3: Cross multiply
    69,273x = 107,473.50 × 107,473.50
  4. Step 4: Simplify right side
    69,273x = 11,550,553,202.25
  5. Step 5: Solve for x
    x = 11,550,553,202.25/69,273
  6. Step 6: Final answer
    x = 166,739.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.