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Finding the Third Proportional to 144,123 and 229,015

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Solution

The third proportional to 144,123 and 229,015 is: 363,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,123 : 229,015 = 229,015 : x
  2. Step 2: Convert to fraction form
    144,123/229,015 = 229,015/x
  3. Step 3: Cross multiply
    144,123x = 229,015 × 229,015
  4. Step 4: Simplify right side
    144,123x = 52,447,870,225
  5. Step 5: Solve for x
    x = 52,447,870,225/144,123
  6. Step 6: Final answer
    x = 363,910.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.