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Finding the Third Proportional to 94,096.69 and 134,138.53

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Solution

The third proportional to 94,096.69 and 134,138.53 is: 191,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,096.69 : 134,138.53 = 134,138.53 : x
  2. Step 2: Convert to fraction form
    94,096.69/134,138.53 = 134,138.53/x
  3. Step 3: Cross multiply
    94,096.69x = 134,138.53 × 134,138.53
  4. Step 4: Simplify right side
    94,096.69x = 17,993,145,565.91
  5. Step 5: Solve for x
    x = 17,993,145,565.91/94,096.69
  6. Step 6: Final answer
    x = 191,219.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.