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Finding the Third Proportional to 117,760 and 255,092

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Solution

The third proportional to 117,760 and 255,092 is: 552,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,760 : 255,092 = 255,092 : x
  2. Step 2: Convert to fraction form
    117,760/255,092 = 255,092/x
  3. Step 3: Cross multiply
    117,760x = 255,092 × 255,092
  4. Step 4: Simplify right side
    117,760x = 65,071,928,464
  5. Step 5: Solve for x
    x = 65,071,928,464/117,760
  6. Step 6: Final answer
    x = 552,580.91

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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.