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Finding the Third Proportional to 51,229.97 and 76,318.45

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Solution

The third proportional to 51,229.97 and 76,318.45 is: 113,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,229.97 : 76,318.45 = 76,318.45 : x
  2. Step 2: Convert to fraction form
    51,229.97/76,318.45 = 76,318.45/x
  3. Step 3: Cross multiply
    51,229.97x = 76,318.45 × 76,318.45
  4. Step 4: Simplify right side
    51,229.97x = 5,824,506,287.39
  5. Step 5: Solve for x
    x = 5,824,506,287.39/51,229.97
  6. Step 6: Final answer
    x = 113,693.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.