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Finding the Third Proportional to 79,597 and 173,958

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Solution

The third proportional to 79,597 and 173,958 is: 380,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,597 : 173,958 = 173,958 : x
  2. Step 2: Convert to fraction form
    79,597/173,958 = 173,958/x
  3. Step 3: Cross multiply
    79,597x = 173,958 × 173,958
  4. Step 4: Simplify right side
    79,597x = 30,261,385,764
  5. Step 5: Solve for x
    x = 30,261,385,764/79,597
  6. Step 6: Final answer
    x = 380,182.49

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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.