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Finding the Third Proportional to 54,999 and 105,623

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Solution

The third proportional to 54,999 and 105,623 is: 202,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,999 : 105,623 = 105,623 : x
  2. Step 2: Convert to fraction form
    54,999/105,623 = 105,623/x
  3. Step 3: Cross multiply
    54,999x = 105,623 × 105,623
  4. Step 4: Simplify right side
    54,999x = 11,156,218,129
  5. Step 5: Solve for x
    x = 11,156,218,129/54,999
  6. Step 6: Final answer
    x = 202,844.02

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.