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Finding the Third Proportional to 120,451.50 and 187,348.50

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Solution

The third proportional to 120,451.50 and 187,348.50 is: 291,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,451.50 : 187,348.50 = 187,348.50 : x
  2. Step 2: Convert to fraction form
    120,451.50/187,348.50 = 187,348.50/x
  3. Step 3: Cross multiply
    120,451.50x = 187,348.50 × 187,348.50
  4. Step 4: Simplify right side
    120,451.50x = 35,099,460,452.25
  5. Step 5: Solve for x
    x = 35,099,460,452.25/120,451.50
  6. Step 6: Final answer
    x = 291,399.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.