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Finding the Third Proportional to 79,796 and 103,534

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Solution

The third proportional to 79,796 and 103,534 is: 134,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,796 : 103,534 = 103,534 : x
  2. Step 2: Convert to fraction form
    79,796/103,534 = 103,534/x
  3. Step 3: Cross multiply
    79,796x = 103,534 × 103,534
  4. Step 4: Simplify right side
    79,796x = 10,719,289,156
  5. Step 5: Solve for x
    x = 10,719,289,156/79,796
  6. Step 6: Final answer
    x = 134,333.67

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.