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Finding the Third Proportional to 76,960 and 164,126

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Solution

The third proportional to 76,960 and 164,126 is: 350,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960 : 164,126 = 164,126 : x
  2. Step 2: Convert to fraction form
    76,960/164,126 = 164,126/x
  3. Step 3: Cross multiply
    76,960x = 164,126 × 164,126
  4. Step 4: Simplify right side
    76,960x = 26,937,343,876
  5. Step 5: Solve for x
    x = 26,937,343,876/76,960
  6. Step 6: Final answer
    x = 350,017.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.