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Finding the Third Proportional to 58,936 and 121,274

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Solution

The third proportional to 58,936 and 121,274 is: 249,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,936 : 121,274 = 121,274 : x
  2. Step 2: Convert to fraction form
    58,936/121,274 = 121,274/x
  3. Step 3: Cross multiply
    58,936x = 121,274 × 121,274
  4. Step 4: Simplify right side
    58,936x = 14,707,383,076
  5. Step 5: Solve for x
    x = 14,707,383,076/58,936
  6. Step 6: Final answer
    x = 249,548.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.