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Finding the Third Proportional to 79,706 and 174,892

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Solution

The third proportional to 79,706 and 174,892 is: 383,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,706 : 174,892 = 174,892 : x
  2. Step 2: Convert to fraction form
    79,706/174,892 = 174,892/x
  3. Step 3: Cross multiply
    79,706x = 174,892 × 174,892
  4. Step 4: Simplify right side
    79,706x = 30,587,211,664
  5. Step 5: Solve for x
    x = 30,587,211,664/79,706
  6. Step 6: Final answer
    x = 383,750.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.