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Finding the Third Proportional to 76,730 and 166,582

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Solution

The third proportional to 76,730 and 166,582 is: 361,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,730 : 166,582 = 166,582 : x
  2. Step 2: Convert to fraction form
    76,730/166,582 = 166,582/x
  3. Step 3: Cross multiply
    76,730x = 166,582 × 166,582
  4. Step 4: Simplify right side
    76,730x = 27,749,562,724
  5. Step 5: Solve for x
    x = 27,749,562,724/76,730
  6. Step 6: Final answer
    x = 361,652.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.