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Finding the Third Proportional to 48,172 and 76,715

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Solution

The third proportional to 48,172 and 76,715 is: 122,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,172 : 76,715 = 76,715 : x
  2. Step 2: Convert to fraction form
    48,172/76,715 = 76,715/x
  3. Step 3: Cross multiply
    48,172x = 76,715 × 76,715
  4. Step 4: Simplify right side
    48,172x = 5,885,191,225
  5. Step 5: Solve for x
    x = 5,885,191,225/48,172
  6. Step 6: Final answer
    x = 122,170.37

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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.