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Finding the Third Proportional to 66,714.75 and 94,965.75

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Solution

The third proportional to 66,714.75 and 94,965.75 is: 135,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,714.75 : 94,965.75 = 94,965.75 : x
  2. Step 2: Convert to fraction form
    66,714.75/94,965.75 = 94,965.75/x
  3. Step 3: Cross multiply
    66,714.75x = 94,965.75 × 94,965.75
  4. Step 4: Simplify right side
    66,714.75x = 9,018,493,673.06
  5. Step 5: Solve for x
    x = 9,018,493,673.06/66,714.75
  6. Step 6: Final answer
    x = 135,179.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.