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Finding the Third Proportional to 94,041 and 138,054.38

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Solution

The third proportional to 94,041 and 138,054.38 is: 202,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,041 : 138,054.38 = 138,054.38 : x
  2. Step 2: Convert to fraction form
    94,041/138,054.38 = 138,054.38/x
  3. Step 3: Cross multiply
    94,041x = 138,054.38 × 138,054.38
  4. Step 4: Simplify right side
    94,041x = 19,059,010,456.64
  5. Step 5: Solve for x
    x = 19,059,010,456.64/94,041
  6. Step 6: Final answer
    x = 202,667.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.