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Finding the Third Proportional to 54,658 and 87,171

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Solution

The third proportional to 54,658 and 87,171 is: 139,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658 : 87,171 = 87,171 : x
  2. Step 2: Convert to fraction form
    54,658/87,171 = 87,171/x
  3. Step 3: Cross multiply
    54,658x = 87,171 × 87,171
  4. Step 4: Simplify right side
    54,658x = 7,598,783,241
  5. Step 5: Solve for x
    x = 7,598,783,241/54,658
  6. Step 6: Final answer
    x = 139,024.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.