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Finding the Third Proportional to 66,105 and 99,304

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Solution

The third proportional to 66,105 and 99,304 is: 149,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105 : 99,304 = 99,304 : x
  2. Step 2: Convert to fraction form
    66,105/99,304 = 99,304/x
  3. Step 3: Cross multiply
    66,105x = 99,304 × 99,304
  4. Step 4: Simplify right side
    66,105x = 9,861,284,416
  5. Step 5: Solve for x
    x = 9,861,284,416/66,105
  6. Step 6: Final answer
    x = 149,176.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.