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Finding the Third Proportional to 74,463 and 112,380

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Solution

The third proportional to 74,463 and 112,380 is: 169,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,463 : 112,380 = 112,380 : x
  2. Step 2: Convert to fraction form
    74,463/112,380 = 112,380/x
  3. Step 3: Cross multiply
    74,463x = 112,380 × 112,380
  4. Step 4: Simplify right side
    74,463x = 12,629,264,400
  5. Step 5: Solve for x
    x = 12,629,264,400/74,463
  6. Step 6: Final answer
    x = 169,604.56

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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.