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Finding the Third Proportional to 58,899 and 127,698

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Solution

The third proportional to 58,899 and 127,698 is: 276,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,899 : 127,698 = 127,698 : x
  2. Step 2: Convert to fraction form
    58,899/127,698 = 127,698/x
  3. Step 3: Cross multiply
    58,899x = 127,698 × 127,698
  4. Step 4: Simplify right side
    58,899x = 16,306,779,204
  5. Step 5: Solve for x
    x = 16,306,779,204/58,899
  6. Step 6: Final answer
    x = 276,860.04

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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.