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Finding the Third Proportional to 95,070 and 206,562

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Solution

The third proportional to 95,070 and 206,562 is: 448,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,070 : 206,562 = 206,562 : x
  2. Step 2: Convert to fraction form
    95,070/206,562 = 206,562/x
  3. Step 3: Cross multiply
    95,070x = 206,562 × 206,562
  4. Step 4: Simplify right side
    95,070x = 42,667,859,844
  5. Step 5: Solve for x
    x = 42,667,859,844/95,070
  6. Step 6: Final answer
    x = 448,804.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.