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Finding the Third Proportional to 54,816.75 and 119,885.06

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Solution

The third proportional to 54,816.75 and 119,885.06 is: 262,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816.75 : 119,885.06 = 119,885.06 : x
  2. Step 2: Convert to fraction form
    54,816.75/119,885.06 = 119,885.06/x
  3. Step 3: Cross multiply
    54,816.75x = 119,885.06 × 119,885.06
  4. Step 4: Simplify right side
    54,816.75x = 14,372,428,210.63
  5. Step 5: Solve for x
    x = 14,372,428,210.63/54,816.75
  6. Step 6: Final answer
    x = 262,190.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.