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Finding the Third Proportional to 70,962 and 154,524

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Solution

The third proportional to 70,962 and 154,524 is: 336,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,962 : 154,524 = 154,524 : x
  2. Step 2: Convert to fraction form
    70,962/154,524 = 154,524/x
  3. Step 3: Cross multiply
    70,962x = 154,524 × 154,524
  4. Step 4: Simplify right side
    70,962x = 23,877,666,576
  5. Step 5: Solve for x
    x = 23,877,666,576/70,962
  6. Step 6: Final answer
    x = 336,485.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.