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Finding the Third Proportional to 79,970 and 173,764

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Solution

The third proportional to 79,970 and 173,764 is: 377,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,970 : 173,764 = 173,764 : x
  2. Step 2: Convert to fraction form
    79,970/173,764 = 173,764/x
  3. Step 3: Cross multiply
    79,970x = 173,764 × 173,764
  4. Step 4: Simplify right side
    79,970x = 30,193,927,696
  5. Step 5: Solve for x
    x = 30,193,927,696/79,970
  6. Step 6: Final answer
    x = 377,565.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.