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Finding the Third Proportional to 79,669 and 173,386

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Solution

The third proportional to 79,669 and 173,386 is: 377,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,669 : 173,386 = 173,386 : x
  2. Step 2: Convert to fraction form
    79,669/173,386 = 173,386/x
  3. Step 3: Cross multiply
    79,669x = 173,386 × 173,386
  4. Step 4: Simplify right side
    79,669x = 30,062,704,996
  5. Step 5: Solve for x
    x = 30,062,704,996/79,669
  6. Step 6: Final answer
    x = 377,345.08

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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.