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Finding the Third Proportional to 70,518 and 146,868

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Solution

The third proportional to 70,518 and 146,868 is: 305,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518 : 146,868 = 146,868 : x
  2. Step 2: Convert to fraction form
    70,518/146,868 = 146,868/x
  3. Step 3: Cross multiply
    70,518x = 146,868 × 146,868
  4. Step 4: Simplify right side
    70,518x = 21,570,209,424
  5. Step 5: Solve for x
    x = 21,570,209,424/70,518
  6. Step 6: Final answer
    x = 305,882.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.