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Finding the Third Proportional to 52,850 and 110,072

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Solution

The third proportional to 52,850 and 110,072 is: 229,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,850 : 110,072 = 110,072 : x
  2. Step 2: Convert to fraction form
    52,850/110,072 = 110,072/x
  3. Step 3: Cross multiply
    52,850x = 110,072 × 110,072
  4. Step 4: Simplify right side
    52,850x = 12,115,845,184
  5. Step 5: Solve for x
    x = 12,115,845,184/52,850
  6. Step 6: Final answer
    x = 229,249.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.