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Finding the Third Proportional to 102,336 and 157,872

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Solution

The third proportional to 102,336 and 157,872 is: 243,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,336 : 157,872 = 157,872 : x
  2. Step 2: Convert to fraction form
    102,336/157,872 = 157,872/x
  3. Step 3: Cross multiply
    102,336x = 157,872 × 157,872
  4. Step 4: Simplify right side
    102,336x = 24,923,568,384
  5. Step 5: Solve for x
    x = 24,923,568,384/102,336
  6. Step 6: Final answer
    x = 243,546.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.