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Finding the Third Proportional to 66,002 and 155,643

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Solution

The third proportional to 66,002 and 155,643 is: 367,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,002 : 155,643 = 155,643 : x
  2. Step 2: Convert to fraction form
    66,002/155,643 = 155,643/x
  3. Step 3: Cross multiply
    66,002x = 155,643 × 155,643
  4. Step 4: Simplify right side
    66,002x = 24,224,743,449
  5. Step 5: Solve for x
    x = 24,224,743,449/66,002
  6. Step 6: Final answer
    x = 367,030.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.