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Finding the Third Proportional to 106,156.50 and 165,694.50

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Solution

The third proportional to 106,156.50 and 165,694.50 is: 258,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,156.50 : 165,694.50 = 165,694.50 : x
  2. Step 2: Convert to fraction form
    106,156.50/165,694.50 = 165,694.50/x
  3. Step 3: Cross multiply
    106,156.50x = 165,694.50 × 165,694.50
  4. Step 4: Simplify right side
    106,156.50x = 27,454,667,330.25
  5. Step 5: Solve for x
    x = 27,454,667,330.25/106,156.50
  6. Step 6: Final answer
    x = 258,624.46

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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.