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Finding the Third Proportional to 53,517 and 82,288.50

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Solution

The third proportional to 53,517 and 82,288.50 is: 126,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,517 : 82,288.50 = 82,288.50 : x
  2. Step 2: Convert to fraction form
    53,517/82,288.50 = 82,288.50/x
  3. Step 3: Cross multiply
    53,517x = 82,288.50 × 82,288.50
  4. Step 4: Simplify right side
    53,517x = 6,771,397,232.25
  5. Step 5: Solve for x
    x = 6,771,397,232.25/53,517
  6. Step 6: Final answer
    x = 126,527.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.