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Finding the Third Proportional to 74,544 and 112,336

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Solution

The third proportional to 74,544 and 112,336 is: 169,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,544 : 112,336 = 112,336 : x
  2. Step 2: Convert to fraction form
    74,544/112,336 = 112,336/x
  3. Step 3: Cross multiply
    74,544x = 112,336 × 112,336
  4. Step 4: Simplify right side
    74,544x = 12,619,376,896
  5. Step 5: Solve for x
    x = 12,619,376,896/74,544
  6. Step 6: Final answer
    x = 169,287.63

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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.