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Finding the Third Proportional to 62,380.13 and 133,386.75

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Solution

The third proportional to 62,380.13 and 133,386.75 is: 285,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,380.13 : 133,386.75 = 133,386.75 : x
  2. Step 2: Convert to fraction form
    62,380.13/133,386.75 = 133,386.75/x
  3. Step 3: Cross multiply
    62,380.13x = 133,386.75 × 133,386.75
  4. Step 4: Simplify right side
    62,380.13x = 17,792,025,075.56
  5. Step 5: Solve for x
    x = 17,792,025,075.56/62,380.13
  6. Step 6: Final answer
    x = 285,219.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.