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Finding the Third Proportional to 56,702 and 122,071

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Solution

The third proportional to 56,702 and 122,071 is: 262,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702 : 122,071 = 122,071 : x
  2. Step 2: Convert to fraction form
    56,702/122,071 = 122,071/x
  3. Step 3: Cross multiply
    56,702x = 122,071 × 122,071
  4. Step 4: Simplify right side
    56,702x = 14,901,329,041
  5. Step 5: Solve for x
    x = 14,901,329,041/56,702
  6. Step 6: Final answer
    x = 262,800.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.