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Finding the Third Proportional to 73,910 and 158,320

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Solution

The third proportional to 73,910 and 158,320 is: 339,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,910 : 158,320 = 158,320 : x
  2. Step 2: Convert to fraction form
    73,910/158,320 = 158,320/x
  3. Step 3: Cross multiply
    73,910x = 158,320 × 158,320
  4. Step 4: Simplify right side
    73,910x = 25,065,222,400
  5. Step 5: Solve for x
    x = 25,065,222,400/73,910
  6. Step 6: Final answer
    x = 339,131.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.