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Finding the Third Proportional to 56,766 and 134,293

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Solution

The third proportional to 56,766 and 134,293 is: 317,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,766 : 134,293 = 134,293 : x
  2. Step 2: Convert to fraction form
    56,766/134,293 = 134,293/x
  3. Step 3: Cross multiply
    56,766x = 134,293 × 134,293
  4. Step 4: Simplify right side
    56,766x = 18,034,609,849
  5. Step 5: Solve for x
    x = 18,034,609,849/56,766
  6. Step 6: Final answer
    x = 317,700.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.