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Finding the Third Proportional to 72,630.84 and 102,099.09

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Solution

The third proportional to 72,630.84 and 102,099.09 is: 143,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,630.84 : 102,099.09 = 102,099.09 : x
  2. Step 2: Convert to fraction form
    72,630.84/102,099.09 = 102,099.09/x
  3. Step 3: Cross multiply
    72,630.84x = 102,099.09 × 102,099.09
  4. Step 4: Simplify right side
    72,630.84x = 10,424,224,944.57
  5. Step 5: Solve for x
    x = 10,424,224,944.57/72,630.84
  6. Step 6: Final answer
    x = 143,523.39

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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.