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Finding the Third Proportional to 87,768 and 171,157.50

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Solution

The third proportional to 87,768 and 171,157.50 is: 333,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,768 : 171,157.50 = 171,157.50 : x
  2. Step 2: Convert to fraction form
    87,768/171,157.50 = 171,157.50/x
  3. Step 3: Cross multiply
    87,768x = 171,157.50 × 171,157.50
  4. Step 4: Simplify right side
    87,768x = 29,294,889,806.25
  5. Step 5: Solve for x
    x = 29,294,889,806.25/87,768
  6. Step 6: Final answer
    x = 333,776.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.