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Finding the Third Proportional to 58,138 and 87,633

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Solution

The third proportional to 58,138 and 87,633 is: 132,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,138 : 87,633 = 87,633 : x
  2. Step 2: Convert to fraction form
    58,138/87,633 = 87,633/x
  3. Step 3: Cross multiply
    58,138x = 87,633 × 87,633
  4. Step 4: Simplify right side
    58,138x = 7,679,542,689
  5. Step 5: Solve for x
    x = 7,679,542,689/58,138
  6. Step 6: Final answer
    x = 132,091.62

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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.