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Finding the Third Proportional to 70,429 and 146,705

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Solution

The third proportional to 70,429 and 146,705 is: 305,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,429 : 146,705 = 146,705 : x
  2. Step 2: Convert to fraction form
    70,429/146,705 = 146,705/x
  3. Step 3: Cross multiply
    70,429x = 146,705 × 146,705
  4. Step 4: Simplify right side
    70,429x = 21,522,357,025
  5. Step 5: Solve for x
    x = 21,522,357,025/70,429
  6. Step 6: Final answer
    x = 305,589.42

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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.