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Finding the Third Proportional to 73,231 and 117,217

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Solution

The third proportional to 73,231 and 117,217 is: 187,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,231 : 117,217 = 117,217 : x
  2. Step 2: Convert to fraction form
    73,231/117,217 = 117,217/x
  3. Step 3: Cross multiply
    73,231x = 117,217 × 117,217
  4. Step 4: Simplify right side
    73,231x = 13,739,825,089
  5. Step 5: Solve for x
    x = 13,739,825,089/73,231
  6. Step 6: Final answer
    x = 187,623.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.