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Finding the Third Proportional to 58,768.50 and 126,888

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Solution

The third proportional to 58,768.50 and 126,888 is: 273,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,768.50 : 126,888 = 126,888 : x
  2. Step 2: Convert to fraction form
    58,768.50/126,888 = 126,888/x
  3. Step 3: Cross multiply
    58,768.50x = 126,888 × 126,888
  4. Step 4: Simplify right side
    58,768.50x = 16,100,564,544
  5. Step 5: Solve for x
    x = 16,100,564,544/58,768.50
  6. Step 6: Final answer
    x = 273,965.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.