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Finding the Third Proportional to 56,782 and 122,970

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Solution

The third proportional to 56,782 and 122,970 is: 266,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782 : 122,970 = 122,970 : x
  2. Step 2: Convert to fraction form
    56,782/122,970 = 122,970/x
  3. Step 3: Cross multiply
    56,782x = 122,970 × 122,970
  4. Step 4: Simplify right side
    56,782x = 15,121,620,900
  5. Step 5: Solve for x
    x = 15,121,620,900/56,782
  6. Step 6: Final answer
    x = 266,310.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.