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Finding the Third Proportional to 55,720 and 116,034

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Solution

The third proportional to 55,720 and 116,034 is: 241,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,720 : 116,034 = 116,034 : x
  2. Step 2: Convert to fraction form
    55,720/116,034 = 116,034/x
  3. Step 3: Cross multiply
    55,720x = 116,034 × 116,034
  4. Step 4: Simplify right side
    55,720x = 13,463,889,156
  5. Step 5: Solve for x
    x = 13,463,889,156/55,720
  6. Step 6: Final answer
    x = 241,634.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.