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Finding the Third Proportional to 56,278 and 120,092

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Solution

The third proportional to 56,278 and 120,092 is: 256,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,278 : 120,092 = 120,092 : x
  2. Step 2: Convert to fraction form
    56,278/120,092 = 120,092/x
  3. Step 3: Cross multiply
    56,278x = 120,092 × 120,092
  4. Step 4: Simplify right side
    56,278x = 14,422,088,464
  5. Step 5: Solve for x
    x = 14,422,088,464/56,278
  6. Step 6: Final answer
    x = 256,265.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.