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Finding the Third Proportional to 104,812.50 and 166,079.25

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Solution

The third proportional to 104,812.50 and 166,079.25 is: 263,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,812.50 : 166,079.25 = 166,079.25 : x
  2. Step 2: Convert to fraction form
    104,812.50/166,079.25 = 166,079.25/x
  3. Step 3: Cross multiply
    104,812.50x = 166,079.25 × 166,079.25
  4. Step 4: Simplify right side
    104,812.50x = 27,582,317,280.56
  5. Step 5: Solve for x
    x = 27,582,317,280.56/104,812.50
  6. Step 6: Final answer
    x = 263,158.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.