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Finding the Third Proportional to 79,433 and 117,301

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Solution

The third proportional to 79,433 and 117,301 is: 173,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,433 : 117,301 = 117,301 : x
  2. Step 2: Convert to fraction form
    79,433/117,301 = 117,301/x
  3. Step 3: Cross multiply
    79,433x = 117,301 × 117,301
  4. Step 4: Simplify right side
    79,433x = 13,759,524,601
  5. Step 5: Solve for x
    x = 13,759,524,601/79,433
  6. Step 6: Final answer
    x = 173,221.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.