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Finding the Third Proportional to 79,573 and 107,687.50

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Solution

The third proportional to 79,573 and 107,687.50 is: 145,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,573 : 107,687.50 = 107,687.50 : x
  2. Step 2: Convert to fraction form
    79,573/107,687.50 = 107,687.50/x
  3. Step 3: Cross multiply
    79,573x = 107,687.50 × 107,687.50
  4. Step 4: Simplify right side
    79,573x = 11,596,597,656.25
  5. Step 5: Solve for x
    x = 11,596,597,656.25/79,573
  6. Step 6: Final answer
    x = 145,735.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.