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Finding the Third Proportional to 53,137.27 and 112,272.96

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Solution

The third proportional to 53,137.27 and 112,272.96 is: 237,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,137.27 : 112,272.96 = 112,272.96 : x
  2. Step 2: Convert to fraction form
    53,137.27/112,272.96 = 112,272.96/x
  3. Step 3: Cross multiply
    53,137.27x = 112,272.96 × 112,272.96
  4. Step 4: Simplify right side
    53,137.27x = 12,605,217,757.67
  5. Step 5: Solve for x
    x = 12,605,217,757.67/53,137.27
  6. Step 6: Final answer
    x = 237,219.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.