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Finding the Third Proportional to 70,086 and 152,844

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Solution

The third proportional to 70,086 and 152,844 is: 333,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,086 : 152,844 = 152,844 : x
  2. Step 2: Convert to fraction form
    70,086/152,844 = 152,844/x
  3. Step 3: Cross multiply
    70,086x = 152,844 × 152,844
  4. Step 4: Simplify right side
    70,086x = 23,361,288,336
  5. Step 5: Solve for x
    x = 23,361,288,336/70,086
  6. Step 6: Final answer
    x = 333,323.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.