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Finding the Third Proportional to 114,094 and 177,588

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Solution

The third proportional to 114,094 and 177,588 is: 276,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,094 : 177,588 = 177,588 : x
  2. Step 2: Convert to fraction form
    114,094/177,588 = 177,588/x
  3. Step 3: Cross multiply
    114,094x = 177,588 × 177,588
  4. Step 4: Simplify right side
    114,094x = 31,537,497,744
  5. Step 5: Solve for x
    x = 31,537,497,744/114,094
  6. Step 6: Final answer
    x = 276,416.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.