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Finding the Third Proportional to 65,880 and 99,399

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Solution

The third proportional to 65,880 and 99,399 is: 149,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880 : 99,399 = 99,399 : x
  2. Step 2: Convert to fraction form
    65,880/99,399 = 99,399/x
  3. Step 3: Cross multiply
    65,880x = 99,399 × 99,399
  4. Step 4: Simplify right side
    65,880x = 9,880,161,201
  5. Step 5: Solve for x
    x = 9,880,161,201/65,880
  6. Step 6: Final answer
    x = 149,972.09

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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.