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Finding the Third Proportional to 75,906 and 113,435

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Solution

The third proportional to 75,906 and 113,435 is: 169,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906 : 113,435 = 113,435 : x
  2. Step 2: Convert to fraction form
    75,906/113,435 = 113,435/x
  3. Step 3: Cross multiply
    75,906x = 113,435 × 113,435
  4. Step 4: Simplify right side
    75,906x = 12,867,499,225
  5. Step 5: Solve for x
    x = 12,867,499,225/75,906
  6. Step 6: Final answer
    x = 169,518.87

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Why These Related Problems?

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