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Finding the Third Proportional to 60,364 and 90,225

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Solution

The third proportional to 60,364 and 90,225 is: 134,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,364 : 90,225 = 90,225 : x
  2. Step 2: Convert to fraction form
    60,364/90,225 = 90,225/x
  3. Step 3: Cross multiply
    60,364x = 90,225 × 90,225
  4. Step 4: Simplify right side
    60,364x = 8,140,550,625
  5. Step 5: Solve for x
    x = 8,140,550,625/60,364
  6. Step 6: Final answer
    x = 134,857.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.