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Finding the Third Proportional to 66,474 and 100,502

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Solution

The third proportional to 66,474 and 100,502 is: 151,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 100,502 = 100,502 : x
  2. Step 2: Convert to fraction form
    66,474/100,502 = 100,502/x
  3. Step 3: Cross multiply
    66,474x = 100,502 × 100,502
  4. Step 4: Simplify right side
    66,474x = 10,100,652,004
  5. Step 5: Solve for x
    x = 10,100,652,004/66,474
  6. Step 6: Final answer
    x = 151,948.91

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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.