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Finding the Third Proportional to 70,538 and 153,692

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Solution

The third proportional to 70,538 and 153,692 is: 334,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,538 : 153,692 = 153,692 : x
  2. Step 2: Convert to fraction form
    70,538/153,692 = 153,692/x
  3. Step 3: Cross multiply
    70,538x = 153,692 × 153,692
  4. Step 4: Simplify right side
    70,538x = 23,621,230,864
  5. Step 5: Solve for x
    x = 23,621,230,864/70,538
  6. Step 6: Final answer
    x = 334,872.42

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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.