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Finding the Third Proportional to 55,610 and 120,919

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Solution

The third proportional to 55,610 and 120,919 is: 262,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,610 : 120,919 = 120,919 : x
  2. Step 2: Convert to fraction form
    55,610/120,919 = 120,919/x
  3. Step 3: Cross multiply
    55,610x = 120,919 × 120,919
  4. Step 4: Simplify right side
    55,610x = 14,621,404,561
  5. Step 5: Solve for x
    x = 14,621,404,561/55,610
  6. Step 6: Final answer
    x = 262,927.61

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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.