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Finding the Third Proportional to 106,999 and 165,594

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Solution

The third proportional to 106,999 and 165,594 is: 256,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,999 : 165,594 = 165,594 : x
  2. Step 2: Convert to fraction form
    106,999/165,594 = 165,594/x
  3. Step 3: Cross multiply
    106,999x = 165,594 × 165,594
  4. Step 4: Simplify right side
    106,999x = 27,421,372,836
  5. Step 5: Solve for x
    x = 27,421,372,836/106,999
  6. Step 6: Final answer
    x = 256,276.91

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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.