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Finding the Third Proportional to 55,534 and 119,933

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Solution

The third proportional to 55,534 and 119,933 is: 259,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534 : 119,933 = 119,933 : x
  2. Step 2: Convert to fraction form
    55,534/119,933 = 119,933/x
  3. Step 3: Cross multiply
    55,534x = 119,933 × 119,933
  4. Step 4: Simplify right side
    55,534x = 14,383,924,489
  5. Step 5: Solve for x
    x = 14,383,924,489/55,534
  6. Step 6: Final answer
    x = 259,011.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.