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Finding the Third Proportional to 134,152 and 188,024

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Solution

The third proportional to 134,152 and 188,024 is: 263,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,152 : 188,024 = 188,024 : x
  2. Step 2: Convert to fraction form
    134,152/188,024 = 188,024/x
  3. Step 3: Cross multiply
    134,152x = 188,024 × 188,024
  4. Step 4: Simplify right side
    134,152x = 35,353,024,576
  5. Step 5: Solve for x
    x = 35,353,024,576/134,152
  6. Step 6: Final answer
    x = 263,529.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.