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Finding the Third Proportional to 54,921 and 119,521.50

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Solution

The third proportional to 54,921 and 119,521.50 is: 260,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,921 : 119,521.50 = 119,521.50 : x
  2. Step 2: Convert to fraction form
    54,921/119,521.50 = 119,521.50/x
  3. Step 3: Cross multiply
    54,921x = 119,521.50 × 119,521.50
  4. Step 4: Simplify right side
    54,921x = 14,285,388,962.25
  5. Step 5: Solve for x
    x = 14,285,388,962.25/54,921
  6. Step 6: Final answer
    x = 260,107.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.