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Finding the Third Proportional to 73,705 and 111,174

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Solution

The third proportional to 73,705 and 111,174 is: 167,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,705 : 111,174 = 111,174 : x
  2. Step 2: Convert to fraction form
    73,705/111,174 = 111,174/x
  3. Step 3: Cross multiply
    73,705x = 111,174 × 111,174
  4. Step 4: Simplify right side
    73,705x = 12,359,658,276
  5. Step 5: Solve for x
    x = 12,359,658,276/73,705
  6. Step 6: Final answer
    x = 167,690.91

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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.