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Finding the Third Proportional to 45,075.50 and 96,183

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Solution

The third proportional to 45,075.50 and 96,183 is: 205,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,075.50 : 96,183 = 96,183 : x
  2. Step 2: Convert to fraction form
    45,075.50/96,183 = 96,183/x
  3. Step 3: Cross multiply
    45,075.50x = 96,183 × 96,183
  4. Step 4: Simplify right side
    45,075.50x = 9,251,169,489
  5. Step 5: Solve for x
    x = 9,251,169,489/45,075.50
  6. Step 6: Final answer
    x = 205,237.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.