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Finding the Third Proportional to 43,114 and 64,831

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Solution

The third proportional to 43,114 and 64,831 is: 97,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114 : 64,831 = 64,831 : x
  2. Step 2: Convert to fraction form
    43,114/64,831 = 64,831/x
  3. Step 3: Cross multiply
    43,114x = 64,831 × 64,831
  4. Step 4: Simplify right side
    43,114x = 4,203,058,561
  5. Step 5: Solve for x
    x = 4,203,058,561/43,114
  6. Step 6: Final answer
    x = 97,487.09

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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.