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Finding the Third Proportional to 52,853.50 and 114,203

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Solution

The third proportional to 52,853.50 and 114,203 is: 246,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,853.50 : 114,203 = 114,203 : x
  2. Step 2: Convert to fraction form
    52,853.50/114,203 = 114,203/x
  3. Step 3: Cross multiply
    52,853.50x = 114,203 × 114,203
  4. Step 4: Simplify right side
    52,853.50x = 13,042,325,209
  5. Step 5: Solve for x
    x = 13,042,325,209/52,853.50
  6. Step 6: Final answer
    x = 246,763.70

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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.