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Finding the Third Proportional to 70,755 and 107,042

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Solution

The third proportional to 70,755 and 107,042 is: 161,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,755 : 107,042 = 107,042 : x
  2. Step 2: Convert to fraction form
    70,755/107,042 = 107,042/x
  3. Step 3: Cross multiply
    70,755x = 107,042 × 107,042
  4. Step 4: Simplify right side
    70,755x = 11,457,989,764
  5. Step 5: Solve for x
    x = 11,457,989,764/70,755
  6. Step 6: Final answer
    x = 161,938.94

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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.