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Finding the Third Proportional to 77,837 and 122,991.50

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Solution

The third proportional to 77,837 and 122,991.50 is: 194,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,837 : 122,991.50 = 122,991.50 : x
  2. Step 2: Convert to fraction form
    77,837/122,991.50 = 122,991.50/x
  3. Step 3: Cross multiply
    77,837x = 122,991.50 × 122,991.50
  4. Step 4: Simplify right side
    77,837x = 15,126,909,072.25
  5. Step 5: Solve for x
    x = 15,126,909,072.25/77,837
  6. Step 6: Final answer
    x = 194,340.85

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.