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Finding the Third Proportional to 43,770 and 96,012

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Solution

The third proportional to 43,770 and 96,012 is: 210,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,770 : 96,012 = 96,012 : x
  2. Step 2: Convert to fraction form
    43,770/96,012 = 96,012/x
  3. Step 3: Cross multiply
    43,770x = 96,012 × 96,012
  4. Step 4: Simplify right side
    43,770x = 9,218,304,144
  5. Step 5: Solve for x
    x = 9,218,304,144/43,770
  6. Step 6: Final answer
    x = 210,607.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.