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Finding the Third Proportional to 56,353 and 122,102

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Solution

The third proportional to 56,353 and 122,102 is: 264,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,353 : 122,102 = 122,102 : x
  2. Step 2: Convert to fraction form
    56,353/122,102 = 122,102/x
  3. Step 3: Cross multiply
    56,353x = 122,102 × 122,102
  4. Step 4: Simplify right side
    56,353x = 14,908,898,404
  5. Step 5: Solve for x
    x = 14,908,898,404/56,353
  6. Step 6: Final answer
    x = 264,562.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.