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Finding the Third Proportional to 41,564 and 88,964

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Solution

The third proportional to 41,564 and 88,964 is: 190,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,564 : 88,964 = 88,964 : x
  2. Step 2: Convert to fraction form
    41,564/88,964 = 88,964/x
  3. Step 3: Cross multiply
    41,564x = 88,964 × 88,964
  4. Step 4: Simplify right side
    41,564x = 7,914,593,296
  5. Step 5: Solve for x
    x = 7,914,593,296/41,564
  6. Step 6: Final answer
    x = 190,419.43

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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.