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Finding the Third Proportional to 76,108 and 162,778

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Solution

The third proportional to 76,108 and 162,778 is: 348,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108 : 162,778 = 162,778 : x
  2. Step 2: Convert to fraction form
    76,108/162,778 = 162,778/x
  3. Step 3: Cross multiply
    76,108x = 162,778 × 162,778
  4. Step 4: Simplify right side
    76,108x = 26,496,677,284
  5. Step 5: Solve for x
    x = 26,496,677,284/76,108
  6. Step 6: Final answer
    x = 348,145.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.