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Finding the Third Proportional to 42,423.75 and 88,293.94

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Solution

The third proportional to 42,423.75 and 88,293.94 is: 183,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,423.75 : 88,293.94 = 88,293.94 : x
  2. Step 2: Convert to fraction form
    42,423.75/88,293.94 = 88,293.94/x
  3. Step 3: Cross multiply
    42,423.75x = 88,293.94 × 88,293.94
  4. Step 4: Simplify right side
    42,423.75x = 7,795,819,399.25
  5. Step 5: Solve for x
    x = 7,795,819,399.25/42,423.75
  6. Step 6: Final answer
    x = 183,760.73

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.