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Finding the Third Proportional to 75,908 and 113,511

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Solution

The third proportional to 75,908 and 113,511 is: 169,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,908 : 113,511 = 113,511 : x
  2. Step 2: Convert to fraction form
    75,908/113,511 = 113,511/x
  3. Step 3: Cross multiply
    75,908x = 113,511 × 113,511
  4. Step 4: Simplify right side
    75,908x = 12,884,747,121
  5. Step 5: Solve for x
    x = 12,884,747,121/75,908
  6. Step 6: Final answer
    x = 169,741.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.