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Finding the Third Proportional to 53,941 and 84,431

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Solution

The third proportional to 53,941 and 84,431 is: 132,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,941 : 84,431 = 84,431 : x
  2. Step 2: Convert to fraction form
    53,941/84,431 = 84,431/x
  3. Step 3: Cross multiply
    53,941x = 84,431 × 84,431
  4. Step 4: Simplify right side
    53,941x = 7,128,593,761
  5. Step 5: Solve for x
    x = 7,128,593,761/53,941
  6. Step 6: Final answer
    x = 132,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.