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Finding the Third Proportional to 77,058.50 and 120,912.50

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Solution

The third proportional to 77,058.50 and 120,912.50 is: 189,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058.50 : 120,912.50 = 120,912.50 : x
  2. Step 2: Convert to fraction form
    77,058.50/120,912.50 = 120,912.50/x
  3. Step 3: Cross multiply
    77,058.50x = 120,912.50 × 120,912.50
  4. Step 4: Simplify right side
    77,058.50x = 14,619,832,656.25
  5. Step 5: Solve for x
    x = 14,619,832,656.25/77,058.50
  6. Step 6: Final answer
    x = 189,723.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.