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Finding the Third Proportional to 90,733.50 and 141,021

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Solution

The third proportional to 90,733.50 and 141,021 is: 219,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,733.50 : 141,021 = 141,021 : x
  2. Step 2: Convert to fraction form
    90,733.50/141,021 = 141,021/x
  3. Step 3: Cross multiply
    90,733.50x = 141,021 × 141,021
  4. Step 4: Simplify right side
    90,733.50x = 19,886,922,441
  5. Step 5: Solve for x
    x = 19,886,922,441/90,733.50
  6. Step 6: Final answer
    x = 219,179.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.