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Finding the Third Proportional to 85,263 and 133,752

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Solution

The third proportional to 85,263 and 133,752 is: 209,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,263 : 133,752 = 133,752 : x
  2. Step 2: Convert to fraction form
    85,263/133,752 = 133,752/x
  3. Step 3: Cross multiply
    85,263x = 133,752 × 133,752
  4. Step 4: Simplify right side
    85,263x = 17,889,597,504
  5. Step 5: Solve for x
    x = 17,889,597,504/85,263
  6. Step 6: Final answer
    x = 209,816.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.