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Finding the Third Proportional to 52,287 and 113,186

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Solution

The third proportional to 52,287 and 113,186 is: 245,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287 : 113,186 = 113,186 : x
  2. Step 2: Convert to fraction form
    52,287/113,186 = 113,186/x
  3. Step 3: Cross multiply
    52,287x = 113,186 × 113,186
  4. Step 4: Simplify right side
    52,287x = 12,811,070,596
  5. Step 5: Solve for x
    x = 12,811,070,596/52,287
  6. Step 6: Final answer
    x = 245,014.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.