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Finding the Third Proportional to 106,995 and 165,583

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Solution

The third proportional to 106,995 and 165,583 is: 256,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,995 : 165,583 = 165,583 : x
  2. Step 2: Convert to fraction form
    106,995/165,583 = 165,583/x
  3. Step 3: Cross multiply
    106,995x = 165,583 × 165,583
  4. Step 4: Simplify right side
    106,995x = 27,417,729,889
  5. Step 5: Solve for x
    x = 27,417,729,889/106,995
  6. Step 6: Final answer
    x = 256,252.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.