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Finding the Third Proportional to 52,034 and 110,546

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Solution

The third proportional to 52,034 and 110,546 is: 234,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 110,546 = 110,546 : x
  2. Step 2: Convert to fraction form
    52,034/110,546 = 110,546/x
  3. Step 3: Cross multiply
    52,034x = 110,546 × 110,546
  4. Step 4: Simplify right side
    52,034x = 12,220,418,116
  5. Step 5: Solve for x
    x = 12,220,418,116/52,034
  6. Step 6: Final answer
    x = 234,854.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.