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Finding the Third Proportional to 55,785 and 115,431

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Solution

The third proportional to 55,785 and 115,431 is: 238,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,785 : 115,431 = 115,431 : x
  2. Step 2: Convert to fraction form
    55,785/115,431 = 115,431/x
  3. Step 3: Cross multiply
    55,785x = 115,431 × 115,431
  4. Step 4: Simplify right side
    55,785x = 13,324,315,761
  5. Step 5: Solve for x
    x = 13,324,315,761/55,785
  6. Step 6: Final answer
    x = 238,851.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.