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Finding the Third Proportional to 70,756 and 149,192

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Solution

The third proportional to 70,756 and 149,192 is: 314,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,756 : 149,192 = 149,192 : x
  2. Step 2: Convert to fraction form
    70,756/149,192 = 149,192/x
  3. Step 3: Cross multiply
    70,756x = 149,192 × 149,192
  4. Step 4: Simplify right side
    70,756x = 22,258,252,864
  5. Step 5: Solve for x
    x = 22,258,252,864/70,756
  6. Step 6: Final answer
    x = 314,577.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.