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Finding the Third Proportional to 56,040 and 117,273

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Solution

The third proportional to 56,040 and 117,273 is: 245,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,040 : 117,273 = 117,273 : x
  2. Step 2: Convert to fraction form
    56,040/117,273 = 117,273/x
  3. Step 3: Cross multiply
    56,040x = 117,273 × 117,273
  4. Step 4: Simplify right side
    56,040x = 13,752,956,529
  5. Step 5: Solve for x
    x = 13,752,956,529/56,040
  6. Step 6: Final answer
    x = 245,413.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.