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Finding the Third Proportional to 75,902 and 113,835

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Solution

The third proportional to 75,902 and 113,835 is: 170,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902 : 113,835 = 113,835 : x
  2. Step 2: Convert to fraction form
    75,902/113,835 = 113,835/x
  3. Step 3: Cross multiply
    75,902x = 113,835 × 113,835
  4. Step 4: Simplify right side
    75,902x = 12,958,407,225
  5. Step 5: Solve for x
    x = 12,958,407,225/75,902
  6. Step 6: Final answer
    x = 170,725.50

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Why These Related Problems?

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