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Finding the Third Proportional to 70,825 and 153,266

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Solution

The third proportional to 70,825 and 153,266 is: 331,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,825 : 153,266 = 153,266 : x
  2. Step 2: Convert to fraction form
    70,825/153,266 = 153,266/x
  3. Step 3: Cross multiply
    70,825x = 153,266 × 153,266
  4. Step 4: Simplify right side
    70,825x = 23,490,466,756
  5. Step 5: Solve for x
    x = 23,490,466,756/70,825
  6. Step 6: Final answer
    x = 331,669.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.