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Finding the Third Proportional to 54,598 and 119,078

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Solution

The third proportional to 54,598 and 119,078 is: 259,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,598 : 119,078 = 119,078 : x
  2. Step 2: Convert to fraction form
    54,598/119,078 = 119,078/x
  3. Step 3: Cross multiply
    54,598x = 119,078 × 119,078
  4. Step 4: Simplify right side
    54,598x = 14,179,570,084
  5. Step 5: Solve for x
    x = 14,179,570,084/54,598
  6. Step 6: Final answer
    x = 259,708.60

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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.