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Finding the Third Proportional to 79,598 and 123,177

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Solution

The third proportional to 79,598 and 123,177 is: 190,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,598 : 123,177 = 123,177 : x
  2. Step 2: Convert to fraction form
    79,598/123,177 = 123,177/x
  3. Step 3: Cross multiply
    79,598x = 123,177 × 123,177
  4. Step 4: Simplify right side
    79,598x = 15,172,573,329
  5. Step 5: Solve for x
    x = 15,172,573,329/79,598
  6. Step 6: Final answer
    x = 190,615.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.