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Finding the Third Proportional to 56,247 and 122,337

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Solution

The third proportional to 56,247 and 122,337 is: 266,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,247 : 122,337 = 122,337 : x
  2. Step 2: Convert to fraction form
    56,247/122,337 = 122,337/x
  3. Step 3: Cross multiply
    56,247x = 122,337 × 122,337
  4. Step 4: Simplify right side
    56,247x = 14,966,341,569
  5. Step 5: Solve for x
    x = 14,966,341,569/56,247
  6. Step 6: Final answer
    x = 266,082.49

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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.