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Finding the Third Proportional to 90,354 and 120,748.50

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Solution

The third proportional to 90,354 and 120,748.50 is: 161,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,354 : 120,748.50 = 120,748.50 : x
  2. Step 2: Convert to fraction form
    90,354/120,748.50 = 120,748.50/x
  3. Step 3: Cross multiply
    90,354x = 120,748.50 × 120,748.50
  4. Step 4: Simplify right side
    90,354x = 14,580,200,252.25
  5. Step 5: Solve for x
    x = 14,580,200,252.25/90,354
  6. Step 6: Final answer
    x = 161,367.51

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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.