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Finding the Third Proportional to 30,119.63 and 65,603.25

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Solution

The third proportional to 30,119.63 and 65,603.25 is: 142,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,119.63 : 65,603.25 = 65,603.25 : x
  2. Step 2: Convert to fraction form
    30,119.63/65,603.25 = 65,603.25/x
  3. Step 3: Cross multiply
    30,119.63x = 65,603.25 × 65,603.25
  4. Step 4: Simplify right side
    30,119.63x = 4,303,786,410.56
  5. Step 5: Solve for x
    x = 4,303,786,410.56/30,119.63
  6. Step 6: Final answer
    x = 142,889.77

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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.