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Finding the Third Proportional to 52,920 and 113,115

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Solution

The third proportional to 52,920 and 113,115 is: 241,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920 : 113,115 = 113,115 : x
  2. Step 2: Convert to fraction form
    52,920/113,115 = 113,115/x
  3. Step 3: Cross multiply
    52,920x = 113,115 × 113,115
  4. Step 4: Simplify right side
    52,920x = 12,795,003,225
  5. Step 5: Solve for x
    x = 12,795,003,225/52,920
  6. Step 6: Final answer
    x = 241,780.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.