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Finding the Third Proportional to 90,123 and 129,819

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Solution

The third proportional to 90,123 and 129,819 is: 186,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,123 : 129,819 = 129,819 : x
  2. Step 2: Convert to fraction form
    90,123/129,819 = 129,819/x
  3. Step 3: Cross multiply
    90,123x = 129,819 × 129,819
  4. Step 4: Simplify right side
    90,123x = 16,852,972,761
  5. Step 5: Solve for x
    x = 16,852,972,761/90,123
  6. Step 6: Final answer
    x = 186,999.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.