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Finding the Third Proportional to 84,564.75 and 181,887

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Solution

The third proportional to 84,564.75 and 181,887 is: 391,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564.75 : 181,887 = 181,887 : x
  2. Step 2: Convert to fraction form
    84,564.75/181,887 = 181,887/x
  3. Step 3: Cross multiply
    84,564.75x = 181,887 × 181,887
  4. Step 4: Simplify right side
    84,564.75x = 33,082,880,769
  5. Step 5: Solve for x
    x = 33,082,880,769/84,564.75
  6. Step 6: Final answer
    x = 391,213.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.