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Finding the Third Proportional to 100,224 and 150,020

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Solution

The third proportional to 100,224 and 150,020 is: 224,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224 : 150,020 = 150,020 : x
  2. Step 2: Convert to fraction form
    100,224/150,020 = 150,020/x
  3. Step 3: Cross multiply
    100,224x = 150,020 × 150,020
  4. Step 4: Simplify right side
    100,224x = 22,506,000,400
  5. Step 5: Solve for x
    x = 22,506,000,400/100,224
  6. Step 6: Final answer
    x = 224,557.00

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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.