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Finding the Third Proportional to 56,107 and 120,962

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Solution

The third proportional to 56,107 and 120,962 is: 260,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107 : 120,962 = 120,962 : x
  2. Step 2: Convert to fraction form
    56,107/120,962 = 120,962/x
  3. Step 3: Cross multiply
    56,107x = 120,962 × 120,962
  4. Step 4: Simplify right side
    56,107x = 14,631,805,444
  5. Step 5: Solve for x
    x = 14,631,805,444/56,107
  6. Step 6: Final answer
    x = 260,783.96

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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.