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Finding the Third Proportional to 106,293 and 162,850.50

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Solution

The third proportional to 106,293 and 162,850.50 is: 249,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,293 : 162,850.50 = 162,850.50 : x
  2. Step 2: Convert to fraction form
    106,293/162,850.50 = 162,850.50/x
  3. Step 3: Cross multiply
    106,293x = 162,850.50 × 162,850.50
  4. Step 4: Simplify right side
    106,293x = 26,520,285,350.25
  5. Step 5: Solve for x
    x = 26,520,285,350.25/106,293
  6. Step 6: Final answer
    x = 249,501.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.