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Finding the Third Proportional to 55,980 and 120,981

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Solution

The third proportional to 55,980 and 120,981 is: 261,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980 : 120,981 = 120,981 : x
  2. Step 2: Convert to fraction form
    55,980/120,981 = 120,981/x
  3. Step 3: Cross multiply
    55,980x = 120,981 × 120,981
  4. Step 4: Simplify right side
    55,980x = 14,636,402,361
  5. Step 5: Solve for x
    x = 14,636,402,361/55,980
  6. Step 6: Final answer
    x = 261,457.71

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