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Finding the Third Proportional to 66,002 and 102,291

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Solution

The third proportional to 66,002 and 102,291 is: 158,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,002 : 102,291 = 102,291 : x
  2. Step 2: Convert to fraction form
    66,002/102,291 = 102,291/x
  3. Step 3: Cross multiply
    66,002x = 102,291 × 102,291
  4. Step 4: Simplify right side
    66,002x = 10,463,448,681
  5. Step 5: Solve for x
    x = 10,463,448,681/66,002
  6. Step 6: Final answer
    x = 158,532.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.