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Finding the Third Proportional to 57,744 and 128,604

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Solution

The third proportional to 57,744 and 128,604 is: 286,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,744 : 128,604 = 128,604 : x
  2. Step 2: Convert to fraction form
    57,744/128,604 = 128,604/x
  3. Step 3: Cross multiply
    57,744x = 128,604 × 128,604
  4. Step 4: Simplify right side
    57,744x = 16,538,988,816
  5. Step 5: Solve for x
    x = 16,538,988,816/57,744
  6. Step 6: Final answer
    x = 286,419.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.