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Finding the Third Proportional to 58,004.75 and 126,662.50

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Solution

The third proportional to 58,004.75 and 126,662.50 is: 276,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,004.75 : 126,662.50 = 126,662.50 : x
  2. Step 2: Convert to fraction form
    58,004.75/126,662.50 = 126,662.50/x
  3. Step 3: Cross multiply
    58,004.75x = 126,662.50 × 126,662.50
  4. Step 4: Simplify right side
    58,004.75x = 16,043,388,906.25
  5. Step 5: Solve for x
    x = 16,043,388,906.25/58,004.75
  6. Step 6: Final answer
    x = 276,587.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.