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Finding the Third Proportional to 65,774.25 and 96,204.38

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Solution

The third proportional to 65,774.25 and 96,204.38 is: 140,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.25 : 96,204.38 = 96,204.38 : x
  2. Step 2: Convert to fraction form
    65,774.25/96,204.38 = 96,204.38/x
  3. Step 3: Cross multiply
    65,774.25x = 96,204.38 × 96,204.38
  4. Step 4: Simplify right side
    65,774.25x = 9,255,281,769.14
  5. Step 5: Solve for x
    x = 9,255,281,769.14/65,774.25
  6. Step 6: Final answer
    x = 140,712.84

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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.