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Finding the Third Proportional to 41,573 and 88,339

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Solution

The third proportional to 41,573 and 88,339 is: 187,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573 : 88,339 = 88,339 : x
  2. Step 2: Convert to fraction form
    41,573/88,339 = 88,339/x
  3. Step 3: Cross multiply
    41,573x = 88,339 × 88,339
  4. Step 4: Simplify right side
    41,573x = 7,803,778,921
  5. Step 5: Solve for x
    x = 7,803,778,921/41,573
  6. Step 6: Final answer
    x = 187,712.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.