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Finding the Third Proportional to 59,884 and 83,263

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Solution

The third proportional to 59,884 and 83,263 is: 115,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,884 : 83,263 = 83,263 : x
  2. Step 2: Convert to fraction form
    59,884/83,263 = 83,263/x
  3. Step 3: Cross multiply
    59,884x = 83,263 × 83,263
  4. Step 4: Simplify right side
    59,884x = 6,932,727,169
  5. Step 5: Solve for x
    x = 6,932,727,169/59,884
  6. Step 6: Final answer
    x = 115,769.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.