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Finding the Third Proportional to 76,516 and 166,581

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Solution

The third proportional to 76,516 and 166,581 is: 362,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,516 : 166,581 = 166,581 : x
  2. Step 2: Convert to fraction form
    76,516/166,581 = 166,581/x
  3. Step 3: Cross multiply
    76,516x = 166,581 × 166,581
  4. Step 4: Simplify right side
    76,516x = 27,749,229,561
  5. Step 5: Solve for x
    x = 27,749,229,561/76,516
  6. Step 6: Final answer
    x = 362,659.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.