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Finding the Third Proportional to 134,904.75 and 194,898

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Solution

The third proportional to 134,904.75 and 194,898 is: 281,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,904.75 : 194,898 = 194,898 : x
  2. Step 2: Convert to fraction form
    134,904.75/194,898 = 194,898/x
  3. Step 3: Cross multiply
    134,904.75x = 194,898 × 194,898
  4. Step 4: Simplify right side
    134,904.75x = 37,985,230,404
  5. Step 5: Solve for x
    x = 37,985,230,404/134,904.75
  6. Step 6: Final answer
    x = 281,570.74

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