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Finding the Third Proportional to 75,492 and 113,427

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Solution

The third proportional to 75,492 and 113,427 is: 170,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492 : 113,427 = 113,427 : x
  2. Step 2: Convert to fraction form
    75,492/113,427 = 113,427/x
  3. Step 3: Cross multiply
    75,492x = 113,427 × 113,427
  4. Step 4: Simplify right side
    75,492x = 12,865,684,329
  5. Step 5: Solve for x
    x = 12,865,684,329/75,492
  6. Step 6: Final answer
    x = 170,424.47

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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.