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Finding the Third Proportional to 52,260 and 114,925

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Solution

The third proportional to 52,260 and 114,925 is: 252,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,260 : 114,925 = 114,925 : x
  2. Step 2: Convert to fraction form
    52,260/114,925 = 114,925/x
  3. Step 3: Cross multiply
    52,260x = 114,925 × 114,925
  4. Step 4: Simplify right side
    52,260x = 13,207,755,625
  5. Step 5: Solve for x
    x = 13,207,755,625/52,260
  6. Step 6: Final answer
    x = 252,731.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.