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Finding the Third Proportional to 90,131 and 208,648

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Solution

The third proportional to 90,131 and 208,648 is: 483,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,131 : 208,648 = 208,648 : x
  2. Step 2: Convert to fraction form
    90,131/208,648 = 208,648/x
  3. Step 3: Cross multiply
    90,131x = 208,648 × 208,648
  4. Step 4: Simplify right side
    90,131x = 43,533,987,904
  5. Step 5: Solve for x
    x = 43,533,987,904/90,131
  6. Step 6: Final answer
    x = 483,007.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.