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Finding the Third Proportional to 41,461 and 88,573

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Solution

The third proportional to 41,461 and 88,573 is: 189,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,461 : 88,573 = 88,573 : x
  2. Step 2: Convert to fraction form
    41,461/88,573 = 88,573/x
  3. Step 3: Cross multiply
    41,461x = 88,573 × 88,573
  4. Step 4: Simplify right side
    41,461x = 7,845,176,329
  5. Step 5: Solve for x
    x = 7,845,176,329/41,461
  6. Step 6: Final answer
    x = 189,218.21

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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.