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Finding the Third Proportional to 73,125 and 158,243

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Solution

The third proportional to 73,125 and 158,243 is: 342,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,125 : 158,243 = 158,243 : x
  2. Step 2: Convert to fraction form
    73,125/158,243 = 158,243/x
  3. Step 3: Cross multiply
    73,125x = 158,243 × 158,243
  4. Step 4: Simplify right side
    73,125x = 25,040,847,049
  5. Step 5: Solve for x
    x = 25,040,847,049/73,125
  6. Step 6: Final answer
    x = 342,438.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.