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Finding the Third Proportional to 79,646 and 173,548

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Solution

The third proportional to 79,646 and 173,548 is: 378,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,646 : 173,548 = 173,548 : x
  2. Step 2: Convert to fraction form
    79,646/173,548 = 173,548/x
  3. Step 3: Cross multiply
    79,646x = 173,548 × 173,548
  4. Step 4: Simplify right side
    79,646x = 30,118,908,304
  5. Step 5: Solve for x
    x = 30,118,908,304/79,646
  6. Step 6: Final answer
    x = 378,159.71

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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.