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Finding the Third Proportional to 40,496 and 88,964

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Solution

The third proportional to 40,496 and 88,964 is: 195,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,496 : 88,964 = 88,964 : x
  2. Step 2: Convert to fraction form
    40,496/88,964 = 88,964/x
  3. Step 3: Cross multiply
    40,496x = 88,964 × 88,964
  4. Step 4: Simplify right side
    40,496x = 7,914,593,296
  5. Step 5: Solve for x
    x = 7,914,593,296/40,496
  6. Step 6: Final answer
    x = 195,441.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.