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Finding the Third Proportional to 88,553 and 191,100

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Solution

The third proportional to 88,553 and 191,100 is: 412,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,553 : 191,100 = 191,100 : x
  2. Step 2: Convert to fraction form
    88,553/191,100 = 191,100/x
  3. Step 3: Cross multiply
    88,553x = 191,100 × 191,100
  4. Step 4: Simplify right side
    88,553x = 36,519,210,000
  5. Step 5: Solve for x
    x = 36,519,210,000/88,553
  6. Step 6: Final answer
    x = 412,399.47

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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.