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Finding the Third Proportional to 94,231 and 145,721

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Solution

The third proportional to 94,231 and 145,721 is: 225,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,231 : 145,721 = 145,721 : x
  2. Step 2: Convert to fraction form
    94,231/145,721 = 145,721/x
  3. Step 3: Cross multiply
    94,231x = 145,721 × 145,721
  4. Step 4: Simplify right side
    94,231x = 21,234,609,841
  5. Step 5: Solve for x
    x = 21,234,609,841/94,231
  6. Step 6: Final answer
    x = 225,346.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.