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Finding the Third Proportional to 106,186 and 157,272

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Solution

The third proportional to 106,186 and 157,272 is: 232,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,186 : 157,272 = 157,272 : x
  2. Step 2: Convert to fraction form
    106,186/157,272 = 157,272/x
  3. Step 3: Cross multiply
    106,186x = 157,272 × 157,272
  4. Step 4: Simplify right side
    106,186x = 24,734,481,984
  5. Step 5: Solve for x
    x = 24,734,481,984/106,186
  6. Step 6: Final answer
    x = 232,935.43

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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.