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Finding the Third Proportional to 66,212.25 and 94,586.25

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Solution

The third proportional to 66,212.25 and 94,586.25 is: 135,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,212.25 : 94,586.25 = 94,586.25 : x
  2. Step 2: Convert to fraction form
    66,212.25/94,586.25 = 94,586.25/x
  3. Step 3: Cross multiply
    66,212.25x = 94,586.25 × 94,586.25
  4. Step 4: Simplify right side
    66,212.25x = 8,946,558,689.06
  5. Step 5: Solve for x
    x = 8,946,558,689.06/66,212.25
  6. Step 6: Final answer
    x = 135,119.39

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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.