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Finding the Third Proportional to 55,731 and 121,830

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Solution

The third proportional to 55,731 and 121,830 is: 266,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731 : 121,830 = 121,830 : x
  2. Step 2: Convert to fraction form
    55,731/121,830 = 121,830/x
  3. Step 3: Cross multiply
    55,731x = 121,830 × 121,830
  4. Step 4: Simplify right side
    55,731x = 14,842,548,900
  5. Step 5: Solve for x
    x = 14,842,548,900/55,731
  6. Step 6: Final answer
    x = 266,324.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.