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Finding the Third Proportional to 65,828 and 96,284

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Solution

The third proportional to 65,828 and 96,284 is: 140,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828 : 96,284 = 96,284 : x
  2. Step 2: Convert to fraction form
    65,828/96,284 = 96,284/x
  3. Step 3: Cross multiply
    65,828x = 96,284 × 96,284
  4. Step 4: Simplify right side
    65,828x = 9,270,608,656
  5. Step 5: Solve for x
    x = 9,270,608,656/65,828
  6. Step 6: Final answer
    x = 140,830.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.