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Finding the Third Proportional to 53,517 and 82,290.75

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Solution

The third proportional to 53,517 and 82,290.75 is: 126,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,517 : 82,290.75 = 82,290.75 : x
  2. Step 2: Convert to fraction form
    53,517/82,290.75 = 82,290.75/x
  3. Step 3: Cross multiply
    53,517x = 82,290.75 × 82,290.75
  4. Step 4: Simplify right side
    53,517x = 6,771,767,535.56
  5. Step 5: Solve for x
    x = 6,771,767,535.56/53,517
  6. Step 6: Final answer
    x = 126,534.89

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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.