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Finding the Third Proportional to 42,907.66 and 89,736.54

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Solution

The third proportional to 42,907.66 and 89,736.54 is: 187,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,907.66 : 89,736.54 = 89,736.54 : x
  2. Step 2: Convert to fraction form
    42,907.66/89,736.54 = 89,736.54/x
  3. Step 3: Cross multiply
    42,907.66x = 89,736.54 × 89,736.54
  4. Step 4: Simplify right side
    42,907.66x = 8,052,646,442.92
  5. Step 5: Solve for x
    x = 8,052,646,442.92/42,907.66
  6. Step 6: Final answer
    x = 187,673.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.