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Finding the Third Proportional to 77,780 and 120,662

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Solution

The third proportional to 77,780 and 120,662 is: 187,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,780 : 120,662 = 120,662 : x
  2. Step 2: Convert to fraction form
    77,780/120,662 = 120,662/x
  3. Step 3: Cross multiply
    77,780x = 120,662 × 120,662
  4. Step 4: Simplify right side
    77,780x = 14,559,318,244
  5. Step 5: Solve for x
    x = 14,559,318,244/77,780
  6. Step 6: Final answer
    x = 187,185.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.