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Finding the Third Proportional to 64,992 and 98,200

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Solution

The third proportional to 64,992 and 98,200 is: 148,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,992 : 98,200 = 98,200 : x
  2. Step 2: Convert to fraction form
    64,992/98,200 = 98,200/x
  3. Step 3: Cross multiply
    64,992x = 98,200 × 98,200
  4. Step 4: Simplify right side
    64,992x = 9,643,240,000
  5. Step 5: Solve for x
    x = 9,643,240,000/64,992
  6. Step 6: Final answer
    x = 148,375.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.