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Finding the Third Proportional to 54,696 and 118,860

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Solution

The third proportional to 54,696 and 118,860 is: 258,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696 : 118,860 = 118,860 : x
  2. Step 2: Convert to fraction form
    54,696/118,860 = 118,860/x
  3. Step 3: Cross multiply
    54,696x = 118,860 × 118,860
  4. Step 4: Simplify right side
    54,696x = 14,127,699,600
  5. Step 5: Solve for x
    x = 14,127,699,600/54,696
  6. Step 6: Final answer
    x = 258,294.93

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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.