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Finding the Third Proportional to 120,717.50 and 191,108

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Solution

The third proportional to 120,717.50 and 191,108 is: 302,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717.50 : 191,108 = 191,108 : x
  2. Step 2: Convert to fraction form
    120,717.50/191,108 = 191,108/x
  3. Step 3: Cross multiply
    120,717.50x = 191,108 × 191,108
  4. Step 4: Simplify right side
    120,717.50x = 36,522,267,664
  5. Step 5: Solve for x
    x = 36,522,267,664/120,717.50
  6. Step 6: Final answer
    x = 302,543.27

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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.