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Finding the Third Proportional to 53,877 and 109,293

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Solution

The third proportional to 53,877 and 109,293 is: 221,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,877 : 109,293 = 109,293 : x
  2. Step 2: Convert to fraction form
    53,877/109,293 = 109,293/x
  3. Step 3: Cross multiply
    53,877x = 109,293 × 109,293
  4. Step 4: Simplify right side
    53,877x = 11,944,959,849
  5. Step 5: Solve for x
    x = 11,944,959,849/53,877
  6. Step 6: Final answer
    x = 221,707.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.