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Finding the Third Proportional to 65,859 and 99,369

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Solution

The third proportional to 65,859 and 99,369 is: 149,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,859 : 99,369 = 99,369 : x
  2. Step 2: Convert to fraction form
    65,859/99,369 = 99,369/x
  3. Step 3: Cross multiply
    65,859x = 99,369 × 99,369
  4. Step 4: Simplify right side
    65,859x = 9,874,198,161
  5. Step 5: Solve for x
    x = 9,874,198,161/65,859
  6. Step 6: Final answer
    x = 149,929.37

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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.