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Finding the Third Proportional to 53,649 and 84,933

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Solution

The third proportional to 53,649 and 84,933 is: 134,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,649 : 84,933 = 84,933 : x
  2. Step 2: Convert to fraction form
    53,649/84,933 = 84,933/x
  3. Step 3: Cross multiply
    53,649x = 84,933 × 84,933
  4. Step 4: Simplify right side
    53,649x = 7,213,614,489
  5. Step 5: Solve for x
    x = 7,213,614,489/53,649
  6. Step 6: Final answer
    x = 134,459.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.