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Finding the Third Proportional to 75,422 and 114,087

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Solution

The third proportional to 75,422 and 114,087 is: 172,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422 : 114,087 = 114,087 : x
  2. Step 2: Convert to fraction form
    75,422/114,087 = 114,087/x
  3. Step 3: Cross multiply
    75,422x = 114,087 × 114,087
  4. Step 4: Simplify right side
    75,422x = 13,015,843,569
  5. Step 5: Solve for x
    x = 13,015,843,569/75,422
  6. Step 6: Final answer
    x = 172,573.57

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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.