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Finding the Third Proportional to 56,711 and 84,514

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Solution

The third proportional to 56,711 and 84,514 is: 125,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,711 : 84,514 = 84,514 : x
  2. Step 2: Convert to fraction form
    56,711/84,514 = 84,514/x
  3. Step 3: Cross multiply
    56,711x = 84,514 × 84,514
  4. Step 4: Simplify right side
    56,711x = 7,142,616,196
  5. Step 5: Solve for x
    x = 7,142,616,196/56,711
  6. Step 6: Final answer
    x = 125,947.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.