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Finding the Third Proportional to 75,231 and 114,324

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Solution

The third proportional to 75,231 and 114,324 is: 173,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231 : 114,324 = 114,324 : x
  2. Step 2: Convert to fraction form
    75,231/114,324 = 114,324/x
  3. Step 3: Cross multiply
    75,231x = 114,324 × 114,324
  4. Step 4: Simplify right side
    75,231x = 13,069,976,976
  5. Step 5: Solve for x
    x = 13,069,976,976/75,231
  6. Step 6: Final answer
    x = 173,731.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.