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Finding the Third Proportional to 105,021.56 and 161,425.41

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Solution

The third proportional to 105,021.56 and 161,425.41 is: 248,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,021.56 : 161,425.41 = 161,425.41 : x
  2. Step 2: Convert to fraction form
    105,021.56/161,425.41 = 161,425.41/x
  3. Step 3: Cross multiply
    105,021.56x = 161,425.41 × 161,425.41
  4. Step 4: Simplify right side
    105,021.56x = 26,058,161,782.98
  5. Step 5: Solve for x
    x = 26,058,161,782.98/105,021.56
  6. Step 6: Final answer
    x = 248,122.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.