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Finding the Third Proportional to 41,773 and 98,576

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Solution

The third proportional to 41,773 and 98,576 is: 232,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,773 : 98,576 = 98,576 : x
  2. Step 2: Convert to fraction form
    41,773/98,576 = 98,576/x
  3. Step 3: Cross multiply
    41,773x = 98,576 × 98,576
  4. Step 4: Simplify right side
    41,773x = 9,717,227,776
  5. Step 5: Solve for x
    x = 9,717,227,776/41,773
  6. Step 6: Final answer
    x = 232,619.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.