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Finding the Third Proportional to 54,191 and 118,588

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Solution

The third proportional to 54,191 and 118,588 is: 259,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,191 : 118,588 = 118,588 : x
  2. Step 2: Convert to fraction form
    54,191/118,588 = 118,588/x
  3. Step 3: Cross multiply
    54,191x = 118,588 × 118,588
  4. Step 4: Simplify right side
    54,191x = 14,063,113,744
  5. Step 5: Solve for x
    x = 14,063,113,744/54,191
  6. Step 6: Final answer
    x = 259,510.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.