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Finding the Third Proportional to 48,114 and 72,171

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Solution

The third proportional to 48,114 and 72,171 is: 108,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114 : 72,171 = 72,171 : x
  2. Step 2: Convert to fraction form
    48,114/72,171 = 72,171/x
  3. Step 3: Cross multiply
    48,114x = 72,171 × 72,171
  4. Step 4: Simplify right side
    48,114x = 5,208,653,241
  5. Step 5: Solve for x
    x = 5,208,653,241/48,114
  6. Step 6: Final answer
    x = 108,256.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.