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Finding the Third Proportional to 134,322.75 and 188,271

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Solution

The third proportional to 134,322.75 and 188,271 is: 263,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,322.75 : 188,271 = 188,271 : x
  2. Step 2: Convert to fraction form
    134,322.75/188,271 = 188,271/x
  3. Step 3: Cross multiply
    134,322.75x = 188,271 × 188,271
  4. Step 4: Simplify right side
    134,322.75x = 35,445,969,441
  5. Step 5: Solve for x
    x = 35,445,969,441/134,322.75
  6. Step 6: Final answer
    x = 263,886.57

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