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Finding the Third Proportional to 73,016 and 158,426

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Solution

The third proportional to 73,016 and 158,426 is: 343,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,016 : 158,426 = 158,426 : x
  2. Step 2: Convert to fraction form
    73,016/158,426 = 158,426/x
  3. Step 3: Cross multiply
    73,016x = 158,426 × 158,426
  4. Step 4: Simplify right side
    73,016x = 25,098,797,476
  5. Step 5: Solve for x
    x = 25,098,797,476/73,016
  6. Step 6: Final answer
    x = 343,743.80

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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.