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Finding the Third Proportional to 41,461 and 88,832

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Solution

The third proportional to 41,461 and 88,832 is: 190,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,461 : 88,832 = 88,832 : x
  2. Step 2: Convert to fraction form
    41,461/88,832 = 88,832/x
  3. Step 3: Cross multiply
    41,461x = 88,832 × 88,832
  4. Step 4: Simplify right side
    41,461x = 7,891,124,224
  5. Step 5: Solve for x
    x = 7,891,124,224/41,461
  6. Step 6: Final answer
    x = 190,326.43

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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.