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Finding the Third Proportional to 53,571 and 111,354

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Solution

The third proportional to 53,571 and 111,354 is: 231,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,571 : 111,354 = 111,354 : x
  2. Step 2: Convert to fraction form
    53,571/111,354 = 111,354/x
  3. Step 3: Cross multiply
    53,571x = 111,354 × 111,354
  4. Step 4: Simplify right side
    53,571x = 12,399,713,316
  5. Step 5: Solve for x
    x = 12,399,713,316/53,571
  6. Step 6: Final answer
    x = 231,463.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.