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Finding the Third Proportional to 66,267 and 138,125.25

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Solution

The third proportional to 66,267 and 138,125.25 is: 287,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,267 : 138,125.25 = 138,125.25 : x
  2. Step 2: Convert to fraction form
    66,267/138,125.25 = 138,125.25/x
  3. Step 3: Cross multiply
    66,267x = 138,125.25 × 138,125.25
  4. Step 4: Simplify right side
    66,267x = 19,078,584,687.56
  5. Step 5: Solve for x
    x = 19,078,584,687.56/66,267
  6. Step 6: Final answer
    x = 287,904.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.