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Finding the Third Proportional to 34,416 and 76,201

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Solution

The third proportional to 34,416 and 76,201 is: 168,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416 : 76,201 = 76,201 : x
  2. Step 2: Convert to fraction form
    34,416/76,201 = 76,201/x
  3. Step 3: Cross multiply
    34,416x = 76,201 × 76,201
  4. Step 4: Simplify right side
    34,416x = 5,806,592,401
  5. Step 5: Solve for x
    x = 5,806,592,401/34,416
  6. Step 6: Final answer
    x = 168,717.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.