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Finding the Third Proportional to 104,188 and 161,232

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Solution

The third proportional to 104,188 and 161,232 is: 249,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,188 : 161,232 = 161,232 : x
  2. Step 2: Convert to fraction form
    104,188/161,232 = 161,232/x
  3. Step 3: Cross multiply
    104,188x = 161,232 × 161,232
  4. Step 4: Simplify right side
    104,188x = 25,995,757,824
  5. Step 5: Solve for x
    x = 25,995,757,824/104,188
  6. Step 6: Final answer
    x = 249,508.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.