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Finding the Third Proportional to 56,884 and 121,992

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Solution

The third proportional to 56,884 and 121,992 is: 261,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,884 : 121,992 = 121,992 : x
  2. Step 2: Convert to fraction form
    56,884/121,992 = 121,992/x
  3. Step 3: Cross multiply
    56,884x = 121,992 × 121,992
  4. Step 4: Simplify right side
    56,884x = 14,882,048,064
  5. Step 5: Solve for x
    x = 14,882,048,064/56,884
  6. Step 6: Final answer
    x = 261,620.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.