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Finding the Third Proportional to 114,936 and 164,544

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Solution

The third proportional to 114,936 and 164,544 is: 235,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,936 : 164,544 = 164,544 : x
  2. Step 2: Convert to fraction form
    114,936/164,544 = 164,544/x
  3. Step 3: Cross multiply
    114,936x = 164,544 × 164,544
  4. Step 4: Simplify right side
    114,936x = 27,074,727,936
  5. Step 5: Solve for x
    x = 27,074,727,936/114,936
  6. Step 6: Final answer
    x = 235,563.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.