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Finding the Third Proportional to 42,010.50 and 87,916

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Solution

The third proportional to 42,010.50 and 87,916 is: 183,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,010.50 : 87,916 = 87,916 : x
  2. Step 2: Convert to fraction form
    42,010.50/87,916 = 87,916/x
  3. Step 3: Cross multiply
    42,010.50x = 87,916 × 87,916
  4. Step 4: Simplify right side
    42,010.50x = 7,729,223,056
  5. Step 5: Solve for x
    x = 7,729,223,056/42,010.50
  6. Step 6: Final answer
    x = 183,983.12

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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.