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Finding the Third Proportional to 57,656 and 122,146

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Solution

The third proportional to 57,656 and 122,146 is: 258,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,656 : 122,146 = 122,146 : x
  2. Step 2: Convert to fraction form
    57,656/122,146 = 122,146/x
  3. Step 3: Cross multiply
    57,656x = 122,146 × 122,146
  4. Step 4: Simplify right side
    57,656x = 14,919,645,316
  5. Step 5: Solve for x
    x = 14,919,645,316/57,656
  6. Step 6: Final answer
    x = 258,770.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.