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Finding the Third Proportional to 90,767 and 141,123

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Solution

The third proportional to 90,767 and 141,123 is: 219,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,767 : 141,123 = 141,123 : x
  2. Step 2: Convert to fraction form
    90,767/141,123 = 141,123/x
  3. Step 3: Cross multiply
    90,767x = 141,123 × 141,123
  4. Step 4: Simplify right side
    90,767x = 19,915,701,129
  5. Step 5: Solve for x
    x = 19,915,701,129/90,767
  6. Step 6: Final answer
    x = 219,415.66

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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.