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Finding the Third Proportional to 45,906 and 68,010

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Solution

The third proportional to 45,906 and 68,010 is: 100,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906 : 68,010 = 68,010 : x
  2. Step 2: Convert to fraction form
    45,906/68,010 = 68,010/x
  3. Step 3: Cross multiply
    45,906x = 68,010 × 68,010
  4. Step 4: Simplify right side
    45,906x = 4,625,360,100
  5. Step 5: Solve for x
    x = 4,625,360,100/45,906
  6. Step 6: Final answer
    x = 100,757.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.