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Finding the Third Proportional to 76,050 and 156,918

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Solution

The third proportional to 76,050 and 156,918 is: 323,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050 : 156,918 = 156,918 : x
  2. Step 2: Convert to fraction form
    76,050/156,918 = 156,918/x
  3. Step 3: Cross multiply
    76,050x = 156,918 × 156,918
  4. Step 4: Simplify right side
    76,050x = 24,623,258,724
  5. Step 5: Solve for x
    x = 24,623,258,724/76,050
  6. Step 6: Final answer
    x = 323,777.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.