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Finding the Third Proportional to 58,659 and 127,795

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Solution

The third proportional to 58,659 and 127,795 is: 278,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,659 : 127,795 = 127,795 : x
  2. Step 2: Convert to fraction form
    58,659/127,795 = 127,795/x
  3. Step 3: Cross multiply
    58,659x = 127,795 × 127,795
  4. Step 4: Simplify right side
    58,659x = 16,331,562,025
  5. Step 5: Solve for x
    x = 16,331,562,025/58,659
  6. Step 6: Final answer
    x = 278,415.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.