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Finding the Third Proportional to 134,172 and 188,055

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Solution

The third proportional to 134,172 and 188,055 is: 263,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,172 : 188,055 = 188,055 : x
  2. Step 2: Convert to fraction form
    134,172/188,055 = 188,055/x
  3. Step 3: Cross multiply
    134,172x = 188,055 × 188,055
  4. Step 4: Simplify right side
    134,172x = 35,364,683,025
  5. Step 5: Solve for x
    x = 35,364,683,025/134,172
  6. Step 6: Final answer
    x = 263,577.22

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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.