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Finding the Third Proportional to 75,370 and 114,035

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Solution

The third proportional to 75,370 and 114,035 is: 172,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370 : 114,035 = 114,035 : x
  2. Step 2: Convert to fraction form
    75,370/114,035 = 114,035/x
  3. Step 3: Cross multiply
    75,370x = 114,035 × 114,035
  4. Step 4: Simplify right side
    75,370x = 13,003,981,225
  5. Step 5: Solve for x
    x = 13,003,981,225/75,370
  6. Step 6: Final answer
    x = 172,535.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.