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Finding the Third Proportional to 54,677 and 84,293

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Solution

The third proportional to 54,677 and 84,293 is: 129,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677 : 84,293 = 84,293 : x
  2. Step 2: Convert to fraction form
    54,677/84,293 = 84,293/x
  3. Step 3: Cross multiply
    54,677x = 84,293 × 84,293
  4. Step 4: Simplify right side
    54,677x = 7,105,309,849
  5. Step 5: Solve for x
    x = 7,105,309,849/54,677
  6. Step 6: Final answer
    x = 129,950.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.