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Finding the Third Proportional to 66,465 and 94,801

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Solution

The third proportional to 66,465 and 94,801 is: 135,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465 : 94,801 = 94,801 : x
  2. Step 2: Convert to fraction form
    66,465/94,801 = 94,801/x
  3. Step 3: Cross multiply
    66,465x = 94,801 × 94,801
  4. Step 4: Simplify right side
    66,465x = 8,987,229,601
  5. Step 5: Solve for x
    x = 8,987,229,601/66,465
  6. Step 6: Final answer
    x = 135,217.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.