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Finding the Third Proportional to 70,452 and 153,966

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Solution

The third proportional to 70,452 and 153,966 is: 336,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,452 : 153,966 = 153,966 : x
  2. Step 2: Convert to fraction form
    70,452/153,966 = 153,966/x
  3. Step 3: Cross multiply
    70,452x = 153,966 × 153,966
  4. Step 4: Simplify right side
    70,452x = 23,705,529,156
  5. Step 5: Solve for x
    x = 23,705,529,156/70,452
  6. Step 6: Final answer
    x = 336,477.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.