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Finding the Third Proportional to 90,129 and 208,643

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Solution

The third proportional to 90,129 and 208,643 is: 482,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,129 : 208,643 = 208,643 : x
  2. Step 2: Convert to fraction form
    90,129/208,643 = 208,643/x
  3. Step 3: Cross multiply
    90,129x = 208,643 × 208,643
  4. Step 4: Simplify right side
    90,129x = 43,531,901,449
  5. Step 5: Solve for x
    x = 43,531,901,449/90,129
  6. Step 6: Final answer
    x = 482,995.50

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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.