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Finding the Third Proportional to 81,884.25 and 124,304.63

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Solution

The third proportional to 81,884.25 and 124,304.63 is: 188,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.25 : 124,304.63 = 124,304.63 : x
  2. Step 2: Convert to fraction form
    81,884.25/124,304.63 = 124,304.63/x
  3. Step 3: Cross multiply
    81,884.25x = 124,304.63 × 124,304.63
  4. Step 4: Simplify right side
    81,884.25x = 15,451,639,796.39
  5. Step 5: Solve for x
    x = 15,451,639,796.39/81,884.25
  6. Step 6: Final answer
    x = 188,701.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.