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Finding the Third Proportional to 51,058 and 76,641

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Solution

The third proportional to 51,058 and 76,641 is: 115,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,058 : 76,641 = 76,641 : x
  2. Step 2: Convert to fraction form
    51,058/76,641 = 76,641/x
  3. Step 3: Cross multiply
    51,058x = 76,641 × 76,641
  4. Step 4: Simplify right side
    51,058x = 5,873,842,881
  5. Step 5: Solve for x
    x = 5,873,842,881/51,058
  6. Step 6: Final answer
    x = 115,042.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.