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Finding the Third Proportional to 55,425 and 122,514

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Solution

The third proportional to 55,425 and 122,514 is: 270,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,425 : 122,514 = 122,514 : x
  2. Step 2: Convert to fraction form
    55,425/122,514 = 122,514/x
  3. Step 3: Cross multiply
    55,425x = 122,514 × 122,514
  4. Step 4: Simplify right side
    55,425x = 15,009,680,196
  5. Step 5: Solve for x
    x = 15,009,680,196/55,425
  6. Step 6: Final answer
    x = 270,810.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.