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Finding the Third Proportional to 54,447.19 and 81,670.78

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Solution

The third proportional to 54,447.19 and 81,670.78 is: 122,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,447.19 : 81,670.78 = 81,670.78 : x
  2. Step 2: Convert to fraction form
    54,447.19/81,670.78 = 81,670.78/x
  3. Step 3: Cross multiply
    54,447.19x = 81,670.78 × 81,670.78
  4. Step 4: Simplify right side
    54,447.19x = 6,670,116,509.99
  5. Step 5: Solve for x
    x = 6,670,116,509.99/54,447.19
  6. Step 6: Final answer
    x = 122,506.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.