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Finding the Third Proportional to 56,398 and 122,516

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Solution

The third proportional to 56,398 and 122,516 is: 266,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,398 : 122,516 = 122,516 : x
  2. Step 2: Convert to fraction form
    56,398/122,516 = 122,516/x
  3. Step 3: Cross multiply
    56,398x = 122,516 × 122,516
  4. Step 4: Simplify right side
    56,398x = 15,010,170,256
  5. Step 5: Solve for x
    x = 15,010,170,256/56,398
  6. Step 6: Final answer
    x = 266,147.21

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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.