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Finding the Third Proportional to 55,850 and 121,529

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Solution

The third proportional to 55,850 and 121,529 is: 264,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,850 : 121,529 = 121,529 : x
  2. Step 2: Convert to fraction form
    55,850/121,529 = 121,529/x
  3. Step 3: Cross multiply
    55,850x = 121,529 × 121,529
  4. Step 4: Simplify right side
    55,850x = 14,769,297,841
  5. Step 5: Solve for x
    x = 14,769,297,841/55,850
  6. Step 6: Final answer
    x = 264,445.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.