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Finding the Third Proportional to 112,114 and 166,573

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Solution

The third proportional to 112,114 and 166,573 is: 247,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,114 : 166,573 = 166,573 : x
  2. Step 2: Convert to fraction form
    112,114/166,573 = 166,573/x
  3. Step 3: Cross multiply
    112,114x = 166,573 × 166,573
  4. Step 4: Simplify right side
    112,114x = 27,746,564,329
  5. Step 5: Solve for x
    x = 27,746,564,329/112,114
  6. Step 6: Final answer
    x = 247,485.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.