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Finding the Third Proportional to 67,495 and 100,696

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Solution

The third proportional to 67,495 and 100,696 is: 150,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,495 : 100,696 = 100,696 : x
  2. Step 2: Convert to fraction form
    67,495/100,696 = 100,696/x
  3. Step 3: Cross multiply
    67,495x = 100,696 × 100,696
  4. Step 4: Simplify right side
    67,495x = 10,139,684,416
  5. Step 5: Solve for x
    x = 10,139,684,416/67,495
  6. Step 6: Final answer
    x = 150,228.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.