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Finding the Third Proportional to 115,191 and 177,588

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Solution

The third proportional to 115,191 and 177,588 is: 273,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,191 : 177,588 = 177,588 : x
  2. Step 2: Convert to fraction form
    115,191/177,588 = 177,588/x
  3. Step 3: Cross multiply
    115,191x = 177,588 × 177,588
  4. Step 4: Simplify right side
    115,191x = 31,537,497,744
  5. Step 5: Solve for x
    x = 31,537,497,744/115,191
  6. Step 6: Final answer
    x = 273,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.