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Finding the Third Proportional to 134,907.75 and 194,903.16

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Solution

The third proportional to 134,907.75 and 194,903.16 is: 281,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,907.75 : 194,903.16 = 194,903.16 : x
  2. Step 2: Convert to fraction form
    134,907.75/194,903.16 = 194,903.16/x
  3. Step 3: Cross multiply
    134,907.75x = 194,903.16 × 194,903.16
  4. Step 4: Simplify right side
    134,907.75x = 37,987,240,316.21
  5. Step 5: Solve for x
    x = 37,987,240,316.21/134,907.75
  6. Step 6: Final answer
    x = 281,579.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.