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Finding the Third Proportional to 112,924 and 166,271

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Solution

The third proportional to 112,924 and 166,271 is: 244,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,924 : 166,271 = 166,271 : x
  2. Step 2: Convert to fraction form
    112,924/166,271 = 166,271/x
  3. Step 3: Cross multiply
    112,924x = 166,271 × 166,271
  4. Step 4: Simplify right side
    112,924x = 27,646,045,441
  5. Step 5: Solve for x
    x = 27,646,045,441/112,924
  6. Step 6: Final answer
    x = 244,819.93

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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.