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Finding the Third Proportional to 111,871 and 162,523

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Solution

The third proportional to 111,871 and 162,523 is: 236,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,871 : 162,523 = 162,523 : x
  2. Step 2: Convert to fraction form
    111,871/162,523 = 162,523/x
  3. Step 3: Cross multiply
    111,871x = 162,523 × 162,523
  4. Step 4: Simplify right side
    111,871x = 26,413,725,529
  5. Step 5: Solve for x
    x = 26,413,725,529/111,871
  6. Step 6: Final answer
    x = 236,108.78

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