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Finding the Third Proportional to 54,686 and 78,200

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Solution

The third proportional to 54,686 and 78,200 is: 111,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686 : 78,200 = 78,200 : x
  2. Step 2: Convert to fraction form
    54,686/78,200 = 78,200/x
  3. Step 3: Cross multiply
    54,686x = 78,200 × 78,200
  4. Step 4: Simplify right side
    54,686x = 6,115,240,000
  5. Step 5: Solve for x
    x = 6,115,240,000/54,686
  6. Step 6: Final answer
    x = 111,824.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.