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Finding the Third Proportional to 56,733 and 122,127

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Solution

The third proportional to 56,733 and 122,127 is: 262,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,733 : 122,127 = 122,127 : x
  2. Step 2: Convert to fraction form
    56,733/122,127 = 122,127/x
  3. Step 3: Cross multiply
    56,733x = 122,127 × 122,127
  4. Step 4: Simplify right side
    56,733x = 14,915,004,129
  5. Step 5: Solve for x
    x = 14,915,004,129/56,733
  6. Step 6: Final answer
    x = 262,898.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.