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Finding the Third Proportional to 100,164 and 149,928

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Solution

The third proportional to 100,164 and 149,928 is: 224,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164 : 149,928 = 149,928 : x
  2. Step 2: Convert to fraction form
    100,164/149,928 = 149,928/x
  3. Step 3: Cross multiply
    100,164x = 149,928 × 149,928
  4. Step 4: Simplify right side
    100,164x = 22,478,405,184
  5. Step 5: Solve for x
    x = 22,478,405,184/100,164
  6. Step 6: Final answer
    x = 224,416.01

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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.