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Finding the Third Proportional to 58,356 and 127,274

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Solution

The third proportional to 58,356 and 127,274 is: 277,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,356 : 127,274 = 127,274 : x
  2. Step 2: Convert to fraction form
    58,356/127,274 = 127,274/x
  3. Step 3: Cross multiply
    58,356x = 127,274 × 127,274
  4. Step 4: Simplify right side
    58,356x = 16,198,671,076
  5. Step 5: Solve for x
    x = 16,198,671,076/58,356
  6. Step 6: Final answer
    x = 277,583.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.