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Finding the Third Proportional to 75,333 and 113,971.31

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Solution

The third proportional to 75,333 and 113,971.31 is: 172,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333 : 113,971.31 = 113,971.31 : x
  2. Step 2: Convert to fraction form
    75,333/113,971.31 = 113,971.31/x
  3. Step 3: Cross multiply
    75,333x = 113,971.31 × 113,971.31
  4. Step 4: Simplify right side
    75,333x = 12,989,460,072.97
  5. Step 5: Solve for x
    x = 12,989,460,072.97/75,333
  6. Step 6: Final answer
    x = 172,427.22

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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.