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Finding the Third Proportional to 58,996 and 127,383

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Solution

The third proportional to 58,996 and 127,383 is: 275,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,996 : 127,383 = 127,383 : x
  2. Step 2: Convert to fraction form
    58,996/127,383 = 127,383/x
  3. Step 3: Cross multiply
    58,996x = 127,383 × 127,383
  4. Step 4: Simplify right side
    58,996x = 16,226,428,689
  5. Step 5: Solve for x
    x = 16,226,428,689/58,996
  6. Step 6: Final answer
    x = 275,042.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.