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Finding the Third Proportional to 120,225.94 and 187,617.38

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Solution

The third proportional to 120,225.94 and 187,617.38 is: 292,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,225.94 : 187,617.38 = 187,617.38 : x
  2. Step 2: Convert to fraction form
    120,225.94/187,617.38 = 187,617.38/x
  3. Step 3: Cross multiply
    120,225.94x = 187,617.38 × 187,617.38
  4. Step 4: Simplify right side
    120,225.94x = 35,200,279,401.89
  5. Step 5: Solve for x
    x = 35,200,279,401.89/120,225.94
  6. Step 6: Final answer
    x = 292,784.40

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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.