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Finding the Third Proportional to 34,777 and 75,096

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Solution

The third proportional to 34,777 and 75,096 is: 162,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,777 : 75,096 = 75,096 : x
  2. Step 2: Convert to fraction form
    34,777/75,096 = 75,096/x
  3. Step 3: Cross multiply
    34,777x = 75,096 × 75,096
  4. Step 4: Simplify right side
    34,777x = 5,639,409,216
  5. Step 5: Solve for x
    x = 5,639,409,216/34,777
  6. Step 6: Final answer
    x = 162,159.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.