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Finding the Third Proportional to 58,182 and 126,732

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Solution

The third proportional to 58,182 and 126,732 is: 276,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,182 : 126,732 = 126,732 : x
  2. Step 2: Convert to fraction form
    58,182/126,732 = 126,732/x
  3. Step 3: Cross multiply
    58,182x = 126,732 × 126,732
  4. Step 4: Simplify right side
    58,182x = 16,060,999,824
  5. Step 5: Solve for x
    x = 16,060,999,824/58,182
  6. Step 6: Final answer
    x = 276,047.57

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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.