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Finding the Third Proportional to 124,773.75 and 174,623.63

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Solution

The third proportional to 124,773.75 and 174,623.63 is: 244,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,773.75 : 174,623.63 = 174,623.63 : x
  2. Step 2: Convert to fraction form
    124,773.75/174,623.63 = 174,623.63/x
  3. Step 3: Cross multiply
    124,773.75x = 174,623.63 × 174,623.63
  4. Step 4: Simplify right side
    124,773.75x = 30,493,410,408.14
  5. Step 5: Solve for x
    x = 30,493,410,408.14/124,773.75
  6. Step 6: Final answer
    x = 244,389.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.