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Finding the Third Proportional to 52,137 and 110,013

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Solution

The third proportional to 52,137 and 110,013 is: 232,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,137 : 110,013 = 110,013 : x
  2. Step 2: Convert to fraction form
    52,137/110,013 = 110,013/x
  3. Step 3: Cross multiply
    52,137x = 110,013 × 110,013
  4. Step 4: Simplify right side
    52,137x = 12,102,860,169
  5. Step 5: Solve for x
    x = 12,102,860,169/52,137
  6. Step 6: Final answer
    x = 232,135.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.