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Finding the Third Proportional to 62,980 and 98,296

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Solution

The third proportional to 62,980 and 98,296 is: 153,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,980 : 98,296 = 98,296 : x
  2. Step 2: Convert to fraction form
    62,980/98,296 = 98,296/x
  3. Step 3: Cross multiply
    62,980x = 98,296 × 98,296
  4. Step 4: Simplify right side
    62,980x = 9,662,103,616
  5. Step 5: Solve for x
    x = 9,662,103,616/62,980
  6. Step 6: Final answer
    x = 153,415.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.