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Finding the Third Proportional to 58,538 and 126,310

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Solution

The third proportional to 58,538 and 126,310 is: 272,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,538 : 126,310 = 126,310 : x
  2. Step 2: Convert to fraction form
    58,538/126,310 = 126,310/x
  3. Step 3: Cross multiply
    58,538x = 126,310 × 126,310
  4. Step 4: Simplify right side
    58,538x = 15,954,216,100
  5. Step 5: Solve for x
    x = 15,954,216,100/58,538
  6. Step 6: Final answer
    x = 272,544.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.