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Finding the Third Proportional to 47,225 and 100,768

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Solution

The third proportional to 47,225 and 100,768 is: 215,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,225 : 100,768 = 100,768 : x
  2. Step 2: Convert to fraction form
    47,225/100,768 = 100,768/x
  3. Step 3: Cross multiply
    47,225x = 100,768 × 100,768
  4. Step 4: Simplify right side
    47,225x = 10,154,189,824
  5. Step 5: Solve for x
    x = 10,154,189,824/47,225
  6. Step 6: Final answer
    x = 215,017.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.