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Finding the Third Proportional to 52,300 and 113,186

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Solution

The third proportional to 52,300 and 113,186 is: 244,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,300 : 113,186 = 113,186 : x
  2. Step 2: Convert to fraction form
    52,300/113,186 = 113,186/x
  3. Step 3: Cross multiply
    52,300x = 113,186 × 113,186
  4. Step 4: Simplify right side
    52,300x = 12,811,070,596
  5. Step 5: Solve for x
    x = 12,811,070,596/52,300
  6. Step 6: Final answer
    x = 244,953.55

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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.