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Finding the Third Proportional to 89,853.75 and 213,669

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Solution

The third proportional to 89,853.75 and 213,669 is: 508,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,853.75 : 213,669 = 213,669 : x
  2. Step 2: Convert to fraction form
    89,853.75/213,669 = 213,669/x
  3. Step 3: Cross multiply
    89,853.75x = 213,669 × 213,669
  4. Step 4: Simplify right side
    89,853.75x = 45,654,441,561
  5. Step 5: Solve for x
    x = 45,654,441,561/89,853.75
  6. Step 6: Final answer
    x = 508,097.23

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.