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Finding the Third Proportional to 63,039 and 136,577.25

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Solution

The third proportional to 63,039 and 136,577.25 is: 295,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,039 : 136,577.25 = 136,577.25 : x
  2. Step 2: Convert to fraction form
    63,039/136,577.25 = 136,577.25/x
  3. Step 3: Cross multiply
    63,039x = 136,577.25 × 136,577.25
  4. Step 4: Simplify right side
    63,039x = 18,653,345,217.56
  5. Step 5: Solve for x
    x = 18,653,345,217.56/63,039
  6. Step 6: Final answer
    x = 295,901.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.