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Finding the Third Proportional to 65,823 and 94,059

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Solution

The third proportional to 65,823 and 94,059 is: 134,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823 : 94,059 = 94,059 : x
  2. Step 2: Convert to fraction form
    65,823/94,059 = 94,059/x
  3. Step 3: Cross multiply
    65,823x = 94,059 × 94,059
  4. Step 4: Simplify right side
    65,823x = 8,847,095,481
  5. Step 5: Solve for x
    x = 8,847,095,481/65,823
  6. Step 6: Final answer
    x = 134,407.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.