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Finding the Third Proportional to 65,669 and 95,631

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Solution

The third proportional to 65,669 and 95,631 is: 139,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,669 : 95,631 = 95,631 : x
  2. Step 2: Convert to fraction form
    65,669/95,631 = 95,631/x
  3. Step 3: Cross multiply
    65,669x = 95,631 × 95,631
  4. Step 4: Simplify right side
    65,669x = 9,145,288,161
  5. Step 5: Solve for x
    x = 9,145,288,161/65,669
  6. Step 6: Final answer
    x = 139,263.40

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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.