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Finding the Third Proportional to 58,945 and 128,150

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Solution

The third proportional to 58,945 and 128,150 is: 278,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,945 : 128,150 = 128,150 : x
  2. Step 2: Convert to fraction form
    58,945/128,150 = 128,150/x
  3. Step 3: Cross multiply
    58,945x = 128,150 × 128,150
  4. Step 4: Simplify right side
    58,945x = 16,422,422,500
  5. Step 5: Solve for x
    x = 16,422,422,500/58,945
  6. Step 6: Final answer
    x = 278,605.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.