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Finding the Third Proportional to 66,805 and 106,525

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Solution

The third proportional to 66,805 and 106,525 is: 169,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,805 : 106,525 = 106,525 : x
  2. Step 2: Convert to fraction form
    66,805/106,525 = 106,525/x
  3. Step 3: Cross multiply
    66,805x = 106,525 × 106,525
  4. Step 4: Simplify right side
    66,805x = 11,347,575,625
  5. Step 5: Solve for x
    x = 11,347,575,625/66,805
  6. Step 6: Final answer
    x = 169,861.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.