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Finding the Third Proportional to 70,322 and 143,256

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Solution

The third proportional to 70,322 and 143,256 is: 291,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,322 : 143,256 = 143,256 : x
  2. Step 2: Convert to fraction form
    70,322/143,256 = 143,256/x
  3. Step 3: Cross multiply
    70,322x = 143,256 × 143,256
  4. Step 4: Simplify right side
    70,322x = 20,522,281,536
  5. Step 5: Solve for x
    x = 20,522,281,536/70,322
  6. Step 6: Final answer
    x = 291,833.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.