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Finding the Third Proportional to 86,889.75 and 203,001

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Solution

The third proportional to 86,889.75 and 203,001 is: 474,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,889.75 : 203,001 = 203,001 : x
  2. Step 2: Convert to fraction form
    86,889.75/203,001 = 203,001/x
  3. Step 3: Cross multiply
    86,889.75x = 203,001 × 203,001
  4. Step 4: Simplify right side
    86,889.75x = 41,209,406,001
  5. Step 5: Solve for x
    x = 41,209,406,001/86,889.75
  6. Step 6: Final answer
    x = 474,272.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.