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Finding the Third Proportional to 87,181.50 and 184,825.13

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Solution

The third proportional to 87,181.50 and 184,825.13 is: 391,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,181.50 : 184,825.13 = 184,825.13 : x
  2. Step 2: Convert to fraction form
    87,181.50/184,825.13 = 184,825.13/x
  3. Step 3: Cross multiply
    87,181.50x = 184,825.13 × 184,825.13
  4. Step 4: Simplify right side
    87,181.50x = 34,160,326,831.27
  5. Step 5: Solve for x
    x = 34,160,326,831.27/87,181.50
  6. Step 6: Final answer
    x = 391,830.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.