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Finding the Third Proportional to 54,654.75 and 119,434.50

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Solution

The third proportional to 54,654.75 and 119,434.50 is: 260,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654.75 : 119,434.50 = 119,434.50 : x
  2. Step 2: Convert to fraction form
    54,654.75/119,434.50 = 119,434.50/x
  3. Step 3: Cross multiply
    54,654.75x = 119,434.50 × 119,434.50
  4. Step 4: Simplify right side
    54,654.75x = 14,264,599,790.25
  5. Step 5: Solve for x
    x = 14,264,599,790.25/54,654.75
  6. Step 6: Final answer
    x = 260,994.69

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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.