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Finding the Third Proportional to 67,504 and 107,292

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Solution

The third proportional to 67,504 and 107,292 is: 170,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,504 : 107,292 = 107,292 : x
  2. Step 2: Convert to fraction form
    67,504/107,292 = 107,292/x
  3. Step 3: Cross multiply
    67,504x = 107,292 × 107,292
  4. Step 4: Simplify right side
    67,504x = 11,511,573,264
  5. Step 5: Solve for x
    x = 11,511,573,264/67,504
  6. Step 6: Final answer
    x = 170,531.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.