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Finding the Third Proportional to 79,894 and 174,087

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Solution

The third proportional to 79,894 and 174,087 is: 379,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,894 : 174,087 = 174,087 : x
  2. Step 2: Convert to fraction form
    79,894/174,087 = 174,087/x
  3. Step 3: Cross multiply
    79,894x = 174,087 × 174,087
  4. Step 4: Simplify right side
    79,894x = 30,306,283,569
  5. Step 5: Solve for x
    x = 30,306,283,569/79,894
  6. Step 6: Final answer
    x = 379,331.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.