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Finding the Third Proportional to 66,523 and 100,475

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Solution

The third proportional to 66,523 and 100,475 is: 151,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,523 : 100,475 = 100,475 : x
  2. Step 2: Convert to fraction form
    66,523/100,475 = 100,475/x
  3. Step 3: Cross multiply
    66,523x = 100,475 × 100,475
  4. Step 4: Simplify right side
    66,523x = 10,095,225,625
  5. Step 5: Solve for x
    x = 10,095,225,625/66,523
  6. Step 6: Final answer
    x = 151,755.42

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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.