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Finding the Third Proportional to 65,069 and 96,326

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Solution

The third proportional to 65,069 and 96,326 is: 142,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,069 : 96,326 = 96,326 : x
  2. Step 2: Convert to fraction form
    65,069/96,326 = 96,326/x
  3. Step 3: Cross multiply
    65,069x = 96,326 × 96,326
  4. Step 4: Simplify right side
    65,069x = 9,278,698,276
  5. Step 5: Solve for x
    x = 9,278,698,276/65,069
  6. Step 6: Final answer
    x = 142,597.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.