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Finding the Third Proportional to 102,015 and 143,404.50

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Solution

The third proportional to 102,015 and 143,404.50 is: 201,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015 : 143,404.50 = 143,404.50 : x
  2. Step 2: Convert to fraction form
    102,015/143,404.50 = 143,404.50/x
  3. Step 3: Cross multiply
    102,015x = 143,404.50 × 143,404.50
  4. Step 4: Simplify right side
    102,015x = 20,564,850,620.25
  5. Step 5: Solve for x
    x = 20,564,850,620.25/102,015
  6. Step 6: Final answer
    x = 201,586.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.