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Finding the Third Proportional to 58,525.88 and 128,202.75

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Solution

The third proportional to 58,525.88 and 128,202.75 is: 280,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,525.88 : 128,202.75 = 128,202.75 : x
  2. Step 2: Convert to fraction form
    58,525.88/128,202.75 = 128,202.75/x
  3. Step 3: Cross multiply
    58,525.88x = 128,202.75 × 128,202.75
  4. Step 4: Simplify right side
    58,525.88x = 16,435,945,107.56
  5. Step 5: Solve for x
    x = 16,435,945,107.56/58,525.88
  6. Step 6: Final answer
    x = 280,832.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.