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Finding the Third Proportional to 57,532 and 128,456

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Solution

The third proportional to 57,532 and 128,456 is: 286,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,532 : 128,456 = 128,456 : x
  2. Step 2: Convert to fraction form
    57,532/128,456 = 128,456/x
  3. Step 3: Cross multiply
    57,532x = 128,456 × 128,456
  4. Step 4: Simplify right side
    57,532x = 16,500,943,936
  5. Step 5: Solve for x
    x = 16,500,943,936/57,532
  6. Step 6: Final answer
    x = 286,813.32

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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.