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Finding the Third Proportional to 105,408 and 168,591.38

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Solution

The third proportional to 105,408 and 168,591.38 is: 269,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408 : 168,591.38 = 168,591.38 : x
  2. Step 2: Convert to fraction form
    105,408/168,591.38 = 168,591.38/x
  3. Step 3: Cross multiply
    105,408x = 168,591.38 × 168,591.38
  4. Step 4: Simplify right side
    105,408x = 28,423,051,724.39
  5. Step 5: Solve for x
    x = 28,423,051,724.39/105,408
  6. Step 6: Final answer
    x = 269,647.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.