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Finding the Third Proportional to 65,777 and 102,512

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Solution

The third proportional to 65,777 and 102,512 is: 159,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,777 : 102,512 = 102,512 : x
  2. Step 2: Convert to fraction form
    65,777/102,512 = 102,512/x
  3. Step 3: Cross multiply
    65,777x = 102,512 × 102,512
  4. Step 4: Simplify right side
    65,777x = 10,508,710,144
  5. Step 5: Solve for x
    x = 10,508,710,144/65,777
  6. Step 6: Final answer
    x = 159,762.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.