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Finding the Third Proportional to 152,105 and 201,859

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Solution

The third proportional to 152,105 and 201,859 is: 267,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,105 : 201,859 = 201,859 : x
  2. Step 2: Convert to fraction form
    152,105/201,859 = 201,859/x
  3. Step 3: Cross multiply
    152,105x = 201,859 × 201,859
  4. Step 4: Simplify right side
    152,105x = 40,747,055,881
  5. Step 5: Solve for x
    x = 40,747,055,881/152,105
  6. Step 6: Final answer
    x = 267,887.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.