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Finding the Third Proportional to 39,078 and 94,536

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Solution

The third proportional to 39,078 and 94,536 is: 228,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,078 : 94,536 = 94,536 : x
  2. Step 2: Convert to fraction form
    39,078/94,536 = 94,536/x
  3. Step 3: Cross multiply
    39,078x = 94,536 × 94,536
  4. Step 4: Simplify right side
    39,078x = 8,937,055,296
  5. Step 5: Solve for x
    x = 8,937,055,296/39,078
  6. Step 6: Final answer
    x = 228,697.87

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.