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Finding the Third Proportional to 66,260 and 100,443

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Solution

The third proportional to 66,260 and 100,443 is: 152,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,260 : 100,443 = 100,443 : x
  2. Step 2: Convert to fraction form
    66,260/100,443 = 100,443/x
  3. Step 3: Cross multiply
    66,260x = 100,443 × 100,443
  4. Step 4: Simplify right side
    66,260x = 10,088,796,249
  5. Step 5: Solve for x
    x = 10,088,796,249/66,260
  6. Step 6: Final answer
    x = 152,260.73

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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.