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Finding the Third Proportional to 81,907.88 and 128,511.75

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Solution

The third proportional to 81,907.88 and 128,511.75 is: 201,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907.88 : 128,511.75 = 128,511.75 : x
  2. Step 2: Convert to fraction form
    81,907.88/128,511.75 = 128,511.75/x
  3. Step 3: Cross multiply
    81,907.88x = 128,511.75 × 128,511.75
  4. Step 4: Simplify right side
    81,907.88x = 16,515,269,888.06
  5. Step 5: Solve for x
    x = 16,515,269,888.06/81,907.88
  6. Step 6: Final answer
    x = 201,632.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.