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Finding the Third Proportional to 52,145 and 110,029

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Solution

The third proportional to 52,145 and 110,029 is: 232,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145 : 110,029 = 110,029 : x
  2. Step 2: Convert to fraction form
    52,145/110,029 = 110,029/x
  3. Step 3: Cross multiply
    52,145x = 110,029 × 110,029
  4. Step 4: Simplify right side
    52,145x = 12,106,380,841
  5. Step 5: Solve for x
    x = 12,106,380,841/52,145
  6. Step 6: Final answer
    x = 232,167.63

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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.