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Finding the Third Proportional to 59,378 and 120,946

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Solution

The third proportional to 59,378 and 120,946 is: 246,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,378 : 120,946 = 120,946 : x
  2. Step 2: Convert to fraction form
    59,378/120,946 = 120,946/x
  3. Step 3: Cross multiply
    59,378x = 120,946 × 120,946
  4. Step 4: Simplify right side
    59,378x = 14,627,934,916
  5. Step 5: Solve for x
    x = 14,627,934,916/59,378
  6. Step 6: Final answer
    x = 246,352.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.