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Finding the Third Proportional to 56,450 and 121,092

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Solution

The third proportional to 56,450 and 121,092 is: 259,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,450 : 121,092 = 121,092 : x
  2. Step 2: Convert to fraction form
    56,450/121,092 = 121,092/x
  3. Step 3: Cross multiply
    56,450x = 121,092 × 121,092
  4. Step 4: Simplify right side
    56,450x = 14,663,272,464
  5. Step 5: Solve for x
    x = 14,663,272,464/56,450
  6. Step 6: Final answer
    x = 259,756.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.