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Finding the Third Proportional to 106,299 and 164,583

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Solution

The third proportional to 106,299 and 164,583 is: 254,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,299 : 164,583 = 164,583 : x
  2. Step 2: Convert to fraction form
    106,299/164,583 = 164,583/x
  3. Step 3: Cross multiply
    106,299x = 164,583 × 164,583
  4. Step 4: Simplify right side
    106,299x = 27,087,563,889
  5. Step 5: Solve for x
    x = 27,087,563,889/106,299
  6. Step 6: Final answer
    x = 254,824.26

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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.