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Finding the Third Proportional to 104,549 and 166,359

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Solution

The third proportional to 104,549 and 166,359 is: 264,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,549 : 166,359 = 166,359 : x
  2. Step 2: Convert to fraction form
    104,549/166,359 = 166,359/x
  3. Step 3: Cross multiply
    104,549x = 166,359 × 166,359
  4. Step 4: Simplify right side
    104,549x = 27,675,316,881
  5. Step 5: Solve for x
    x = 27,675,316,881/104,549
  6. Step 6: Final answer
    x = 264,711.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.