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Finding the Third Proportional to 53,744 and 83,496

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Solution

The third proportional to 53,744 and 83,496 is: 129,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,744 : 83,496 = 83,496 : x
  2. Step 2: Convert to fraction form
    53,744/83,496 = 83,496/x
  3. Step 3: Cross multiply
    53,744x = 83,496 × 83,496
  4. Step 4: Simplify right side
    53,744x = 6,971,582,016
  5. Step 5: Solve for x
    x = 6,971,582,016/53,744
  6. Step 6: Final answer
    x = 129,718.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.