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Finding the Third Proportional to 55,933 and 109,030

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Solution

The third proportional to 55,933 and 109,030 is: 212,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,933 : 109,030 = 109,030 : x
  2. Step 2: Convert to fraction form
    55,933/109,030 = 109,030/x
  3. Step 3: Cross multiply
    55,933x = 109,030 × 109,030
  4. Step 4: Simplify right side
    55,933x = 11,887,540,900
  5. Step 5: Solve for x
    x = 11,887,540,900/55,933
  6. Step 6: Final answer
    x = 212,531.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.