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Finding the Third Proportional to 87,952.08 and 171,530.16

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Solution

The third proportional to 87,952.08 and 171,530.16 is: 334,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,952.08 : 171,530.16 = 171,530.16 : x
  2. Step 2: Convert to fraction form
    87,952.08/171,530.16 = 171,530.16/x
  3. Step 3: Cross multiply
    87,952.08x = 171,530.16 × 171,530.16
  4. Step 4: Simplify right side
    87,952.08x = 29,422,594,503.15
  5. Step 5: Solve for x
    x = 29,422,594,503.15/87,952.08
  6. Step 6: Final answer
    x = 334,529.84

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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.