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Finding the Third Proportional to 55,536 and 119,942

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Solution

The third proportional to 55,536 and 119,942 is: 259,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536 : 119,942 = 119,942 : x
  2. Step 2: Convert to fraction form
    55,536/119,942 = 119,942/x
  3. Step 3: Cross multiply
    55,536x = 119,942 × 119,942
  4. Step 4: Simplify right side
    55,536x = 14,386,083,364
  5. Step 5: Solve for x
    x = 14,386,083,364/55,536
  6. Step 6: Final answer
    x = 259,040.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.