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Finding the Third Proportional to 57,732 and 128,580

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Solution

The third proportional to 57,732 and 128,580 is: 286,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732 : 128,580 = 128,580 : x
  2. Step 2: Convert to fraction form
    57,732/128,580 = 128,580/x
  3. Step 3: Cross multiply
    57,732x = 128,580 × 128,580
  4. Step 4: Simplify right side
    57,732x = 16,532,816,400
  5. Step 5: Solve for x
    x = 16,532,816,400/57,732
  6. Step 6: Final answer
    x = 286,371.79

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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.