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Finding the Third Proportional to 58,344 and 127,984

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Solution

The third proportional to 58,344 and 127,984 is: 280,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,344 : 127,984 = 127,984 : x
  2. Step 2: Convert to fraction form
    58,344/127,984 = 127,984/x
  3. Step 3: Cross multiply
    58,344x = 127,984 × 127,984
  4. Step 4: Simplify right side
    58,344x = 16,379,904,256
  5. Step 5: Solve for x
    x = 16,379,904,256/58,344
  6. Step 6: Final answer
    x = 280,747.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.