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Finding the Third Proportional to 90,355 and 120,750

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Solution

The third proportional to 90,355 and 120,750 is: 161,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,355 : 120,750 = 120,750 : x
  2. Step 2: Convert to fraction form
    90,355/120,750 = 120,750/x
  3. Step 3: Cross multiply
    90,355x = 120,750 × 120,750
  4. Step 4: Simplify right side
    90,355x = 14,580,562,500
  5. Step 5: Solve for x
    x = 14,580,562,500/90,355
  6. Step 6: Final answer
    x = 161,369.74

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.