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Finding the Third Proportional to 43,270 and 93,003

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Solution

The third proportional to 43,270 and 93,003 is: 199,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,270 : 93,003 = 93,003 : x
  2. Step 2: Convert to fraction form
    43,270/93,003 = 93,003/x
  3. Step 3: Cross multiply
    43,270x = 93,003 × 93,003
  4. Step 4: Simplify right side
    43,270x = 8,649,558,009
  5. Step 5: Solve for x
    x = 8,649,558,009/43,270
  6. Step 6: Final answer
    x = 199,897.34

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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.