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Finding the Third Proportional to 100,676 and 141,127

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Solution

The third proportional to 100,676 and 141,127 is: 197,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676 : 141,127 = 141,127 : x
  2. Step 2: Convert to fraction form
    100,676/141,127 = 141,127/x
  3. Step 3: Cross multiply
    100,676x = 141,127 × 141,127
  4. Step 4: Simplify right side
    100,676x = 19,916,830,129
  5. Step 5: Solve for x
    x = 19,916,830,129/100,676
  6. Step 6: Final answer
    x = 197,830.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.