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Finding the Third Proportional to 104,726 and 166,475

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Solution

The third proportional to 104,726 and 166,475 is: 264,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,726 : 166,475 = 166,475 : x
  2. Step 2: Convert to fraction form
    104,726/166,475 = 166,475/x
  3. Step 3: Cross multiply
    104,726x = 166,475 × 166,475
  4. Step 4: Simplify right side
    104,726x = 27,713,925,625
  5. Step 5: Solve for x
    x = 27,713,925,625/104,726
  6. Step 6: Final answer
    x = 264,632.71

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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.