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Finding the Third Proportional to 42,800 and 92,828

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Solution

The third proportional to 42,800 and 92,828 is: 201,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800 : 92,828 = 92,828 : x
  2. Step 2: Convert to fraction form
    42,800/92,828 = 92,828/x
  3. Step 3: Cross multiply
    42,800x = 92,828 × 92,828
  4. Step 4: Simplify right side
    42,800x = 8,617,037,584
  5. Step 5: Solve for x
    x = 8,617,037,584/42,800
  6. Step 6: Final answer
    x = 201,332.65

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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.