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Finding the Third Proportional to 100,176.75 and 150,022.13

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Solution

The third proportional to 100,176.75 and 150,022.13 is: 224,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.75 : 150,022.13 = 150,022.13 : x
  2. Step 2: Convert to fraction form
    100,176.75/150,022.13 = 150,022.13/x
  3. Step 3: Cross multiply
    100,176.75x = 150,022.13 × 150,022.13
  4. Step 4: Simplify right side
    100,176.75x = 22,506,637,989.52
  5. Step 5: Solve for x
    x = 22,506,637,989.52/100,176.75
  6. Step 6: Final answer
    x = 224,669.28

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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.