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Finding the Third Proportional to 71,559 and 166,344.75

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Solution

The third proportional to 71,559 and 166,344.75 is: 386,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,559 : 166,344.75 = 166,344.75 : x
  2. Step 2: Convert to fraction form
    71,559/166,344.75 = 166,344.75/x
  3. Step 3: Cross multiply
    71,559x = 166,344.75 × 166,344.75
  4. Step 4: Simplify right side
    71,559x = 27,670,575,852.56
  5. Step 5: Solve for x
    x = 27,670,575,852.56/71,559
  6. Step 6: Final answer
    x = 386,681.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.