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Finding the Third Proportional to 104,716 and 166,786

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Solution

The third proportional to 104,716 and 166,786 is: 265,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,716 : 166,786 = 166,786 : x
  2. Step 2: Convert to fraction form
    104,716/166,786 = 166,786/x
  3. Step 3: Cross multiply
    104,716x = 166,786 × 166,786
  4. Step 4: Simplify right side
    104,716x = 27,817,569,796
  5. Step 5: Solve for x
    x = 27,817,569,796/104,716
  6. Step 6: Final answer
    x = 265,647.75

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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.