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Finding the Third Proportional to 113,896 and 170,790

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Solution

The third proportional to 113,896 and 170,790 is: 256,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,896 : 170,790 = 170,790 : x
  2. Step 2: Convert to fraction form
    113,896/170,790 = 170,790/x
  3. Step 3: Cross multiply
    113,896x = 170,790 × 170,790
  4. Step 4: Simplify right side
    113,896x = 29,169,224,100
  5. Step 5: Solve for x
    x = 29,169,224,100/113,896
  6. Step 6: Final answer
    x = 256,104.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.