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Finding the Third Proportional to 74,744 and 112,392

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Solution

The third proportional to 74,744 and 112,392 is: 169,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,744 : 112,392 = 112,392 : x
  2. Step 2: Convert to fraction form
    74,744/112,392 = 112,392/x
  3. Step 3: Cross multiply
    74,744x = 112,392 × 112,392
  4. Step 4: Simplify right side
    74,744x = 12,631,961,664
  5. Step 5: Solve for x
    x = 12,631,961,664/74,744
  6. Step 6: Final answer
    x = 169,003.02

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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.