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Finding the Third Proportional to 134,057 and 199,263

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Solution

The third proportional to 134,057 and 199,263 is: 296,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,057 : 199,263 = 199,263 : x
  2. Step 2: Convert to fraction form
    134,057/199,263 = 199,263/x
  3. Step 3: Cross multiply
    134,057x = 199,263 × 199,263
  4. Step 4: Simplify right side
    134,057x = 39,705,743,169
  5. Step 5: Solve for x
    x = 39,705,743,169/134,057
  6. Step 6: Final answer
    x = 296,185.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.