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Finding the Third Proportional to 62,983.50 and 133,075.50

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Solution

The third proportional to 62,983.50 and 133,075.50 is: 281,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,983.50 : 133,075.50 = 133,075.50 : x
  2. Step 2: Convert to fraction form
    62,983.50/133,075.50 = 133,075.50/x
  3. Step 3: Cross multiply
    62,983.50x = 133,075.50 × 133,075.50
  4. Step 4: Simplify right side
    62,983.50x = 17,709,088,700.25
  5. Step 5: Solve for x
    x = 17,709,088,700.25/62,983.50
  6. Step 6: Final answer
    x = 281,170.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.