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Finding the Third Proportional to 55,294 and 120,956

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Solution

The third proportional to 55,294 and 120,956 is: 264,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,294 : 120,956 = 120,956 : x
  2. Step 2: Convert to fraction form
    55,294/120,956 = 120,956/x
  3. Step 3: Cross multiply
    55,294x = 120,956 × 120,956
  4. Step 4: Simplify right side
    55,294x = 14,630,353,936
  5. Step 5: Solve for x
    x = 14,630,353,936/55,294
  6. Step 6: Final answer
    x = 264,592.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.