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Finding the Third Proportional to 42,096.94 and 63,145.69

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Solution

The third proportional to 42,096.94 and 63,145.69 is: 94,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096.94 : 63,145.69 = 63,145.69 : x
  2. Step 2: Convert to fraction form
    42,096.94/63,145.69 = 63,145.69/x
  3. Step 3: Cross multiply
    42,096.94x = 63,145.69 × 63,145.69
  4. Step 4: Simplify right side
    42,096.94x = 3,987,377,849.85
  5. Step 5: Solve for x
    x = 3,987,377,849.85/42,096.94
  6. Step 6: Final answer
    x = 94,718.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.