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Finding the Third Proportional to 100,618.03 and 136,164.80

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Solution

The third proportional to 100,618.03 and 136,164.80 is: 184,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,618.03 : 136,164.80 = 136,164.80 : x
  2. Step 2: Convert to fraction form
    100,618.03/136,164.80 = 136,164.80/x
  3. Step 3: Cross multiply
    100,618.03x = 136,164.80 × 136,164.80
  4. Step 4: Simplify right side
    100,618.03x = 18,540,851,908.01
  5. Step 5: Solve for x
    x = 18,540,851,908.01/100,618.03
  6. Step 6: Final answer
    x = 184,269.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.