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Finding the Third Proportional to 45,961 and 72,228

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Solution

The third proportional to 45,961 and 72,228 is: 113,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,961 : 72,228 = 72,228 : x
  2. Step 2: Convert to fraction form
    45,961/72,228 = 72,228/x
  3. Step 3: Cross multiply
    45,961x = 72,228 × 72,228
  4. Step 4: Simplify right side
    45,961x = 5,216,883,984
  5. Step 5: Solve for x
    x = 5,216,883,984/45,961
  6. Step 6: Final answer
    x = 113,506.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.