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Finding the Third Proportional to 48,986 and 106,852

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Solution

The third proportional to 48,986 and 106,852 is: 233,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,986 : 106,852 = 106,852 : x
  2. Step 2: Convert to fraction form
    48,986/106,852 = 106,852/x
  3. Step 3: Cross multiply
    48,986x = 106,852 × 106,852
  4. Step 4: Simplify right side
    48,986x = 11,417,349,904
  5. Step 5: Solve for x
    x = 11,417,349,904/48,986
  6. Step 6: Final answer
    x = 233,073.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.