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Finding the Third Proportional to 58,434 and 127,923

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Solution

The third proportional to 58,434 and 127,923 is: 280,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,434 : 127,923 = 127,923 : x
  2. Step 2: Convert to fraction form
    58,434/127,923 = 127,923/x
  3. Step 3: Cross multiply
    58,434x = 127,923 × 127,923
  4. Step 4: Simplify right side
    58,434x = 16,364,293,929
  5. Step 5: Solve for x
    x = 16,364,293,929/58,434
  6. Step 6: Final answer
    x = 280,047.47

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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.