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Finding the Third Proportional to 43,255 and 93,175

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Solution

The third proportional to 43,255 and 93,175 is: 200,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,255 : 93,175 = 93,175 : x
  2. Step 2: Convert to fraction form
    43,255/93,175 = 93,175/x
  3. Step 3: Cross multiply
    43,255x = 93,175 × 93,175
  4. Step 4: Simplify right side
    43,255x = 8,681,580,625
  5. Step 5: Solve for x
    x = 8,681,580,625/43,255
  6. Step 6: Final answer
    x = 200,706.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.