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Finding the Third Proportional to 57,277.13 and 126,916.88

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Solution

The third proportional to 57,277.13 and 126,916.88 is: 281,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,277.13 : 126,916.88 = 126,916.88 : x
  2. Step 2: Convert to fraction form
    57,277.13/126,916.88 = 126,916.88/x
  3. Step 3: Cross multiply
    57,277.13x = 126,916.88 × 126,916.88
  4. Step 4: Simplify right side
    57,277.13x = 16,107,893,159.77
  5. Step 5: Solve for x
    x = 16,107,893,159.77/57,277.13
  6. Step 6: Final answer
    x = 281,227.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.