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Finding the Third Proportional to 58,438 and 127,934

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Solution

The third proportional to 58,438 and 127,934 is: 280,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,438 : 127,934 = 127,934 : x
  2. Step 2: Convert to fraction form
    58,438/127,934 = 127,934/x
  3. Step 3: Cross multiply
    58,438x = 127,934 × 127,934
  4. Step 4: Simplify right side
    58,438x = 16,367,108,356
  5. Step 5: Solve for x
    x = 16,367,108,356/58,438
  6. Step 6: Final answer
    x = 280,076.46

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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.