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Finding the Third Proportional to 58,063.50 and 126,697.50

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Solution

The third proportional to 58,063.50 and 126,697.50 is: 276,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,063.50 : 126,697.50 = 126,697.50 : x
  2. Step 2: Convert to fraction form
    58,063.50/126,697.50 = 126,697.50/x
  3. Step 3: Cross multiply
    58,063.50x = 126,697.50 × 126,697.50
  4. Step 4: Simplify right side
    58,063.50x = 16,052,256,506.25
  5. Step 5: Solve for x
    x = 16,052,256,506.25/58,063.50
  6. Step 6: Final answer
    x = 276,460.37

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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.