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Finding the Third Proportional to 87,530.63 and 192,081.38

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Solution

The third proportional to 87,530.63 and 192,081.38 is: 421,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,530.63 : 192,081.38 = 192,081.38 : x
  2. Step 2: Convert to fraction form
    87,530.63/192,081.38 = 192,081.38/x
  3. Step 3: Cross multiply
    87,530.63x = 192,081.38 × 192,081.38
  4. Step 4: Simplify right side
    87,530.63x = 36,895,254,621.89
  5. Step 5: Solve for x
    x = 36,895,254,621.89/87,530.63
  6. Step 6: Final answer
    x = 421,512.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.