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Finding the Third Proportional to 132,994 and 199,041

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Solution

The third proportional to 132,994 and 199,041 is: 297,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,994 : 199,041 = 199,041 : x
  2. Step 2: Convert to fraction form
    132,994/199,041 = 199,041/x
  3. Step 3: Cross multiply
    132,994x = 199,041 × 199,041
  4. Step 4: Simplify right side
    132,994x = 39,617,319,681
  5. Step 5: Solve for x
    x = 39,617,319,681/132,994
  6. Step 6: Final answer
    x = 297,888.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.