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Finding the Third Proportional to 48,394 and 101,221

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Solution

The third proportional to 48,394 and 101,221 is: 211,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,394 : 101,221 = 101,221 : x
  2. Step 2: Convert to fraction form
    48,394/101,221 = 101,221/x
  3. Step 3: Cross multiply
    48,394x = 101,221 × 101,221
  4. Step 4: Simplify right side
    48,394x = 10,245,690,841
  5. Step 5: Solve for x
    x = 10,245,690,841/48,394
  6. Step 6: Final answer
    x = 211,714.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.