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Finding the Third Proportional to 70,757 and 107,045

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Solution

The third proportional to 70,757 and 107,045 is: 161,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,757 : 107,045 = 107,045 : x
  2. Step 2: Convert to fraction form
    70,757/107,045 = 107,045/x
  3. Step 3: Cross multiply
    70,757x = 107,045 × 107,045
  4. Step 4: Simplify right side
    70,757x = 11,458,632,025
  5. Step 5: Solve for x
    x = 11,458,632,025/70,757
  6. Step 6: Final answer
    x = 161,943.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.