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Finding the Third Proportional to 112,646 and 163,677

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Solution

The third proportional to 112,646 and 163,677 is: 237,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,646 : 163,677 = 163,677 : x
  2. Step 2: Convert to fraction form
    112,646/163,677 = 163,677/x
  3. Step 3: Cross multiply
    112,646x = 163,677 × 163,677
  4. Step 4: Simplify right side
    112,646x = 26,790,160,329
  5. Step 5: Solve for x
    x = 26,790,160,329/112,646
  6. Step 6: Final answer
    x = 237,826.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.