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Finding the Third Proportional to 129,408 and 173,911.50

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Solution

The third proportional to 129,408 and 173,911.50 is: 233,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,408 : 173,911.50 = 173,911.50 : x
  2. Step 2: Convert to fraction form
    129,408/173,911.50 = 173,911.50/x
  3. Step 3: Cross multiply
    129,408x = 173,911.50 × 173,911.50
  4. Step 4: Simplify right side
    129,408x = 30,245,209,832.25
  5. Step 5: Solve for x
    x = 30,245,209,832.25/129,408
  6. Step 6: Final answer
    x = 233,719.78

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.