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Finding the Third Proportional to 54,969 and 82,963.50

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Solution

The third proportional to 54,969 and 82,963.50 is: 125,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969 : 82,963.50 = 82,963.50 : x
  2. Step 2: Convert to fraction form
    54,969/82,963.50 = 82,963.50/x
  3. Step 3: Cross multiply
    54,969x = 82,963.50 × 82,963.50
  4. Step 4: Simplify right side
    54,969x = 6,882,942,332.25
  5. Step 5: Solve for x
    x = 6,882,942,332.25/54,969
  6. Step 6: Final answer
    x = 125,214.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.