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Finding the Third Proportional to 54,664 and 118,948

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Solution

The third proportional to 54,664 and 118,948 is: 258,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,664 : 118,948 = 118,948 : x
  2. Step 2: Convert to fraction form
    54,664/118,948 = 118,948/x
  3. Step 3: Cross multiply
    54,664x = 118,948 × 118,948
  4. Step 4: Simplify right side
    54,664x = 14,148,626,704
  5. Step 5: Solve for x
    x = 14,148,626,704/54,664
  6. Step 6: Final answer
    x = 258,828.97

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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.