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Finding the Third Proportional to 58,596 and 127,884

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Solution

The third proportional to 58,596 and 127,884 is: 279,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,596 : 127,884 = 127,884 : x
  2. Step 2: Convert to fraction form
    58,596/127,884 = 127,884/x
  3. Step 3: Cross multiply
    58,596x = 127,884 × 127,884
  4. Step 4: Simplify right side
    58,596x = 16,354,317,456
  5. Step 5: Solve for x
    x = 16,354,317,456/58,596
  6. Step 6: Final answer
    x = 279,102.97

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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.