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Finding the Third Proportional to 110,722 and 162,391

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Solution

The third proportional to 110,722 and 162,391 is: 238,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,722 : 162,391 = 162,391 : x
  2. Step 2: Convert to fraction form
    110,722/162,391 = 162,391/x
  3. Step 3: Cross multiply
    110,722x = 162,391 × 162,391
  4. Step 4: Simplify right side
    110,722x = 26,370,836,881
  5. Step 5: Solve for x
    x = 26,370,836,881/110,722
  6. Step 6: Final answer
    x = 238,171.61

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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.