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Finding the Third Proportional to 54,836 and 119,590

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Solution

The third proportional to 54,836 and 119,590 is: 260,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836 : 119,590 = 119,590 : x
  2. Step 2: Convert to fraction form
    54,836/119,590 = 119,590/x
  3. Step 3: Cross multiply
    54,836x = 119,590 × 119,590
  4. Step 4: Simplify right side
    54,836x = 14,301,768,100
  5. Step 5: Solve for x
    x = 14,301,768,100/54,836
  6. Step 6: Final answer
    x = 260,809.83

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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.