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Finding the Third Proportional to 66,467 and 94,804

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Solution

The third proportional to 66,467 and 94,804 is: 135,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,467 : 94,804 = 94,804 : x
  2. Step 2: Convert to fraction form
    66,467/94,804 = 94,804/x
  3. Step 3: Cross multiply
    66,467x = 94,804 × 94,804
  4. Step 4: Simplify right side
    66,467x = 8,987,798,416
  5. Step 5: Solve for x
    x = 8,987,798,416/66,467
  6. Step 6: Final answer
    x = 135,221.97

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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.