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Finding the Third Proportional to 106,272 and 157,356

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Solution

The third proportional to 106,272 and 157,356 is: 232,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,272 : 157,356 = 157,356 : x
  2. Step 2: Convert to fraction form
    106,272/157,356 = 157,356/x
  3. Step 3: Cross multiply
    106,272x = 157,356 × 157,356
  4. Step 4: Simplify right side
    106,272x = 24,760,910,736
  5. Step 5: Solve for x
    x = 24,760,910,736/106,272
  6. Step 6: Final answer
    x = 232,995.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.