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Finding the Third Proportional to 134,128 and 188,007

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Solution

The third proportional to 134,128 and 188,007 is: 263,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,128 : 188,007 = 188,007 : x
  2. Step 2: Convert to fraction form
    134,128/188,007 = 188,007/x
  3. Step 3: Cross multiply
    134,128x = 188,007 × 188,007
  4. Step 4: Simplify right side
    134,128x = 35,346,632,049
  5. Step 5: Solve for x
    x = 35,346,632,049/134,128
  6. Step 6: Final answer
    x = 263,529.11

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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.