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Finding the Third Proportional to 41,104 and 88,633

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Solution

The third proportional to 41,104 and 88,633 is: 191,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,104 : 88,633 = 88,633 : x
  2. Step 2: Convert to fraction form
    41,104/88,633 = 88,633/x
  3. Step 3: Cross multiply
    41,104x = 88,633 × 88,633
  4. Step 4: Simplify right side
    41,104x = 7,855,808,689
  5. Step 5: Solve for x
    x = 7,855,808,689/41,104
  6. Step 6: Final answer
    x = 191,120.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.