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Finding the Third Proportional to 79,797 and 121,423.50

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Solution

The third proportional to 79,797 and 121,423.50 is: 184,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,797 : 121,423.50 = 121,423.50 : x
  2. Step 2: Convert to fraction form
    79,797/121,423.50 = 121,423.50/x
  3. Step 3: Cross multiply
    79,797x = 121,423.50 × 121,423.50
  4. Step 4: Simplify right side
    79,797x = 14,743,666,352.25
  5. Step 5: Solve for x
    x = 14,743,666,352.25/79,797
  6. Step 6: Final answer
    x = 184,764.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.