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Finding the Third Proportional to 58,237 and 87,836

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Solution

The third proportional to 58,237 and 87,836 is: 132,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,237 : 87,836 = 87,836 : x
  2. Step 2: Convert to fraction form
    58,237/87,836 = 87,836/x
  3. Step 3: Cross multiply
    58,237x = 87,836 × 87,836
  4. Step 4: Simplify right side
    58,237x = 7,715,162,896
  5. Step 5: Solve for x
    x = 7,715,162,896/58,237
  6. Step 6: Final answer
    x = 132,478.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.