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Finding the Third Proportional to 95,904 and 212,768

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Solution

The third proportional to 95,904 and 212,768 is: 472,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,904 : 212,768 = 212,768 : x
  2. Step 2: Convert to fraction form
    95,904/212,768 = 212,768/x
  3. Step 3: Cross multiply
    95,904x = 212,768 × 212,768
  4. Step 4: Simplify right side
    95,904x = 45,270,221,824
  5. Step 5: Solve for x
    x = 45,270,221,824/95,904
  6. Step 6: Final answer
    x = 472,036.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.