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Finding the Third Proportional to 61,400 and 94,812

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Solution

The third proportional to 61,400 and 94,812 is: 146,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,400 : 94,812 = 94,812 : x
  2. Step 2: Convert to fraction form
    61,400/94,812 = 94,812/x
  3. Step 3: Cross multiply
    61,400x = 94,812 × 94,812
  4. Step 4: Simplify right side
    61,400x = 8,989,315,344
  5. Step 5: Solve for x
    x = 8,989,315,344/61,400
  6. Step 6: Final answer
    x = 146,405.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.