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Finding the Third Proportional to 52,285 and 111,313

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Solution

The third proportional to 52,285 and 111,313 is: 236,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285 : 111,313 = 111,313 : x
  2. Step 2: Convert to fraction form
    52,285/111,313 = 111,313/x
  3. Step 3: Cross multiply
    52,285x = 111,313 × 111,313
  4. Step 4: Simplify right side
    52,285x = 12,390,583,969
  5. Step 5: Solve for x
    x = 12,390,583,969/52,285
  6. Step 6: Final answer
    x = 236,981.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.