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Finding the Third Proportional to 87,322.50 and 188,553

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Solution

The third proportional to 87,322.50 and 188,553 is: 407,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,322.50 : 188,553 = 188,553 : x
  2. Step 2: Convert to fraction form
    87,322.50/188,553 = 188,553/x
  3. Step 3: Cross multiply
    87,322.50x = 188,553 × 188,553
  4. Step 4: Simplify right side
    87,322.50x = 35,552,233,809
  5. Step 5: Solve for x
    x = 35,552,233,809/87,322.50
  6. Step 6: Final answer
    x = 407,137.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.