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Finding the Third Proportional to 106,980.75 and 166,605

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Solution

The third proportional to 106,980.75 and 166,605 is: 259,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980.75 : 166,605 = 166,605 : x
  2. Step 2: Convert to fraction form
    106,980.75/166,605 = 166,605/x
  3. Step 3: Cross multiply
    106,980.75x = 166,605 × 166,605
  4. Step 4: Simplify right side
    106,980.75x = 27,757,226,025
  5. Step 5: Solve for x
    x = 27,757,226,025/106,980.75
  6. Step 6: Final answer
    x = 259,460.01

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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.