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Finding the Third Proportional to 90,104 and 129,790

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Solution

The third proportional to 90,104 and 129,790 is: 186,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,104 : 129,790 = 129,790 : x
  2. Step 2: Convert to fraction form
    90,104/129,790 = 129,790/x
  3. Step 3: Cross multiply
    90,104x = 129,790 × 129,790
  4. Step 4: Simplify right side
    90,104x = 16,845,444,100
  5. Step 5: Solve for x
    x = 16,845,444,100/90,104
  6. Step 6: Final answer
    x = 186,955.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.