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Finding the Third Proportional to 112,107 and 164,880

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Solution

The third proportional to 112,107 and 164,880 is: 242,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,107 : 164,880 = 164,880 : x
  2. Step 2: Convert to fraction form
    112,107/164,880 = 164,880/x
  3. Step 3: Cross multiply
    112,107x = 164,880 × 164,880
  4. Step 4: Simplify right side
    112,107x = 27,185,414,400
  5. Step 5: Solve for x
    x = 27,185,414,400/112,107
  6. Step 6: Final answer
    x = 242,495.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.