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Finding the Third Proportional to 58,942.50 and 120,608.25

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Solution

The third proportional to 58,942.50 and 120,608.25 is: 246,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,942.50 : 120,608.25 = 120,608.25 : x
  2. Step 2: Convert to fraction form
    58,942.50/120,608.25 = 120,608.25/x
  3. Step 3: Cross multiply
    58,942.50x = 120,608.25 × 120,608.25
  4. Step 4: Simplify right side
    58,942.50x = 14,546,349,968.06
  5. Step 5: Solve for x
    x = 14,546,349,968.06/58,942.50
  6. Step 6: Final answer
    x = 246,788.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.