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Finding the Third Proportional to 102,408.19 and 156,729.94

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Solution

The third proportional to 102,408.19 and 156,729.94 is: 239,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.19 : 156,729.94 = 156,729.94 : x
  2. Step 2: Convert to fraction form
    102,408.19/156,729.94 = 156,729.94/x
  3. Step 3: Cross multiply
    102,408.19x = 156,729.94 × 156,729.94
  4. Step 4: Simplify right side
    102,408.19x = 24,564,273,308.75
  5. Step 5: Solve for x
    x = 24,564,273,308.75/102,408.19
  6. Step 6: Final answer
    x = 239,866.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.