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Finding the Third Proportional to 45,489 and 93,243

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Solution

The third proportional to 45,489 and 93,243 is: 191,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,489 : 93,243 = 93,243 : x
  2. Step 2: Convert to fraction form
    45,489/93,243 = 93,243/x
  3. Step 3: Cross multiply
    45,489x = 93,243 × 93,243
  4. Step 4: Simplify right side
    45,489x = 8,694,257,049
  5. Step 5: Solve for x
    x = 8,694,257,049/45,489
  6. Step 6: Final answer
    x = 191,128.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.