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Finding the Third Proportional to 73,122 and 158,634

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Solution

The third proportional to 73,122 and 158,634 is: 344,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122 : 158,634 = 158,634 : x
  2. Step 2: Convert to fraction form
    73,122/158,634 = 158,634/x
  3. Step 3: Cross multiply
    73,122x = 158,634 × 158,634
  4. Step 4: Simplify right side
    73,122x = 25,164,745,956
  5. Step 5: Solve for x
    x = 25,164,745,956/73,122
  6. Step 6: Final answer
    x = 344,147.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.