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Finding the Third Proportional to 53,026.50 and 109,743.75

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Solution

The third proportional to 53,026.50 and 109,743.75 is: 227,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,026.50 : 109,743.75 = 109,743.75 : x
  2. Step 2: Convert to fraction form
    53,026.50/109,743.75 = 109,743.75/x
  3. Step 3: Cross multiply
    53,026.50x = 109,743.75 × 109,743.75
  4. Step 4: Simplify right side
    53,026.50x = 12,043,690,664.06
  5. Step 5: Solve for x
    x = 12,043,690,664.06/53,026.50
  6. Step 6: Final answer
    x = 227,125.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.