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Finding the Third Proportional to 100,138 and 187,664

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Solution

The third proportional to 100,138 and 187,664 is: 351,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138 : 187,664 = 187,664 : x
  2. Step 2: Convert to fraction form
    100,138/187,664 = 187,664/x
  3. Step 3: Cross multiply
    100,138x = 187,664 × 187,664
  4. Step 4: Simplify right side
    100,138x = 35,217,776,896
  5. Step 5: Solve for x
    x = 35,217,776,896/100,138
  6. Step 6: Final answer
    x = 351,692.43

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.