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Finding the Third Proportional to 54,421 and 118,048

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Solution

The third proportional to 54,421 and 118,048 is: 256,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,421 : 118,048 = 118,048 : x
  2. Step 2: Convert to fraction form
    54,421/118,048 = 118,048/x
  3. Step 3: Cross multiply
    54,421x = 118,048 × 118,048
  4. Step 4: Simplify right side
    54,421x = 13,935,330,304
  5. Step 5: Solve for x
    x = 13,935,330,304/54,421
  6. Step 6: Final answer
    x = 256,065.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.