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Finding the Third Proportional to 79,213.50 and 162,117

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Solution

The third proportional to 79,213.50 and 162,117 is: 331,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,213.50 : 162,117 = 162,117 : x
  2. Step 2: Convert to fraction form
    79,213.50/162,117 = 162,117/x
  3. Step 3: Cross multiply
    79,213.50x = 162,117 × 162,117
  4. Step 4: Simplify right side
    79,213.50x = 26,281,921,689
  5. Step 5: Solve for x
    x = 26,281,921,689/79,213.50
  6. Step 6: Final answer
    x = 331,785.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.