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Finding the Third Proportional to 90,811.50 and 141,736.25

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Solution

The third proportional to 90,811.50 and 141,736.25 is: 221,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,811.50 : 141,736.25 = 141,736.25 : x
  2. Step 2: Convert to fraction form
    90,811.50/141,736.25 = 141,736.25/x
  3. Step 3: Cross multiply
    90,811.50x = 141,736.25 × 141,736.25
  4. Step 4: Simplify right side
    90,811.50x = 20,089,164,564.06
  5. Step 5: Solve for x
    x = 20,089,164,564.06/90,811.50
  6. Step 6: Final answer
    x = 221,218.29

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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.