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Finding the Third Proportional to 106,867.50 and 166,771

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Solution

The third proportional to 106,867.50 and 166,771 is: 260,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867.50 : 166,771 = 166,771 : x
  2. Step 2: Convert to fraction form
    106,867.50/166,771 = 166,771/x
  3. Step 3: Cross multiply
    106,867.50x = 166,771 × 166,771
  4. Step 4: Simplify right side
    106,867.50x = 27,812,566,441
  5. Step 5: Solve for x
    x = 27,812,566,441/106,867.50
  6. Step 6: Final answer
    x = 260,252.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.