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Finding the Third Proportional to 106,937 and 165,562

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Solution

The third proportional to 106,937 and 165,562 is: 256,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,937 : 165,562 = 165,562 : x
  2. Step 2: Convert to fraction form
    106,937/165,562 = 165,562/x
  3. Step 3: Cross multiply
    106,937x = 165,562 × 165,562
  4. Step 4: Simplify right side
    106,937x = 27,410,775,844
  5. Step 5: Solve for x
    x = 27,410,775,844/106,937
  6. Step 6: Final answer
    x = 256,326.40

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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.