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Finding the Third Proportional to 79,251 and 117,567

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Solution

The third proportional to 79,251 and 117,567 is: 174,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,251 : 117,567 = 117,567 : x
  2. Step 2: Convert to fraction form
    79,251/117,567 = 117,567/x
  3. Step 3: Cross multiply
    79,251x = 117,567 × 117,567
  4. Step 4: Simplify right side
    79,251x = 13,821,999,489
  5. Step 5: Solve for x
    x = 13,821,999,489/79,251
  6. Step 6: Final answer
    x = 174,407.89

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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.