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Finding the Third Proportional to 61,199 and 129,751

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Solution

The third proportional to 61,199 and 129,751 is: 275,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,199 : 129,751 = 129,751 : x
  2. Step 2: Convert to fraction form
    61,199/129,751 = 129,751/x
  3. Step 3: Cross multiply
    61,199x = 129,751 × 129,751
  4. Step 4: Simplify right side
    61,199x = 16,835,322,001
  5. Step 5: Solve for x
    x = 16,835,322,001/61,199
  6. Step 6: Final answer
    x = 275,091.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.