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Finding the Third Proportional to 104,859.50 and 166,790.50

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Solution

The third proportional to 104,859.50 and 166,790.50 is: 265,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,859.50 : 166,790.50 = 166,790.50 : x
  2. Step 2: Convert to fraction form
    104,859.50/166,790.50 = 166,790.50/x
  3. Step 3: Cross multiply
    104,859.50x = 166,790.50 × 166,790.50
  4. Step 4: Simplify right side
    104,859.50x = 27,819,070,890.25
  5. Step 5: Solve for x
    x = 27,819,070,890.25/104,859.50
  6. Step 6: Final answer
    x = 265,298.53

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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.