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Finding the Third Proportional to 56,114 and 122,960

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Solution

The third proportional to 56,114 and 122,960 is: 269,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114 : 122,960 = 122,960 : x
  2. Step 2: Convert to fraction form
    56,114/122,960 = 122,960/x
  3. Step 3: Cross multiply
    56,114x = 122,960 × 122,960
  4. Step 4: Simplify right side
    56,114x = 15,119,161,600
  5. Step 5: Solve for x
    x = 15,119,161,600/56,114
  6. Step 6: Final answer
    x = 269,436.53

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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.