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Finding the Third Proportional to 41,216 and 88,263

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Solution

The third proportional to 41,216 and 88,263 is: 189,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,216 : 88,263 = 88,263 : x
  2. Step 2: Convert to fraction form
    41,216/88,263 = 88,263/x
  3. Step 3: Cross multiply
    41,216x = 88,263 × 88,263
  4. Step 4: Simplify right side
    41,216x = 7,790,357,169
  5. Step 5: Solve for x
    x = 7,790,357,169/41,216
  6. Step 6: Final answer
    x = 189,012.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.