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Finding the Third Proportional to 56,834 and 119,560

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Solution

The third proportional to 56,834 and 119,560 is: 251,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,834 : 119,560 = 119,560 : x
  2. Step 2: Convert to fraction form
    56,834/119,560 = 119,560/x
  3. Step 3: Cross multiply
    56,834x = 119,560 × 119,560
  4. Step 4: Simplify right side
    56,834x = 14,294,593,600
  5. Step 5: Solve for x
    x = 14,294,593,600/56,834
  6. Step 6: Final answer
    x = 251,514.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.