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Finding the Third Proportional to 79,842 and 133,062

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Solution

The third proportional to 79,842 and 133,062 is: 221,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,842 : 133,062 = 133,062 : x
  2. Step 2: Convert to fraction form
    79,842/133,062 = 133,062/x
  3. Step 3: Cross multiply
    79,842x = 133,062 × 133,062
  4. Step 4: Simplify right side
    79,842x = 17,705,495,844
  5. Step 5: Solve for x
    x = 17,705,495,844/79,842
  6. Step 6: Final answer
    x = 221,756.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.