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Finding the Third Proportional to 66,443 and 100,894

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Solution

The third proportional to 66,443 and 100,894 is: 153,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,443 : 100,894 = 100,894 : x
  2. Step 2: Convert to fraction form
    66,443/100,894 = 100,894/x
  3. Step 3: Cross multiply
    66,443x = 100,894 × 100,894
  4. Step 4: Simplify right side
    66,443x = 10,179,599,236
  5. Step 5: Solve for x
    x = 10,179,599,236/66,443
  6. Step 6: Final answer
    x = 153,208.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.