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Finding the Third Proportional to 75,924.84 and 113,468.34

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Solution

The third proportional to 75,924.84 and 113,468.34 is: 169,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,924.84 : 113,468.34 = 113,468.34 : x
  2. Step 2: Convert to fraction form
    75,924.84/113,468.34 = 113,468.34/x
  3. Step 3: Cross multiply
    75,924.84x = 113,468.34 × 113,468.34
  4. Step 4: Simplify right side
    75,924.84x = 12,875,065,033.37
  5. Step 5: Solve for x
    x = 12,875,065,033.37/75,924.84
  6. Step 6: Final answer
    x = 169,576.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.