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Finding the Third Proportional to 58,400 and 128,102

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Solution

The third proportional to 58,400 and 128,102 is: 280,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,400 : 128,102 = 128,102 : x
  2. Step 2: Convert to fraction form
    58,400/128,102 = 128,102/x
  3. Step 3: Cross multiply
    58,400x = 128,102 × 128,102
  4. Step 4: Simplify right side
    58,400x = 16,410,122,404
  5. Step 5: Solve for x
    x = 16,410,122,404/58,400
  6. Step 6: Final answer
    x = 280,995.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.