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Finding the Third Proportional to 56,110 and 120,966

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Solution

The third proportional to 56,110 and 120,966 is: 260,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,110 : 120,966 = 120,966 : x
  2. Step 2: Convert to fraction form
    56,110/120,966 = 120,966/x
  3. Step 3: Cross multiply
    56,110x = 120,966 × 120,966
  4. Step 4: Simplify right side
    56,110x = 14,632,773,156
  5. Step 5: Solve for x
    x = 14,632,773,156/56,110
  6. Step 6: Final answer
    x = 260,787.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.