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Finding the Third Proportional to 88,128 and 188,720

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Solution

The third proportional to 88,128 and 188,720 is: 404,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,128 : 188,720 = 188,720 : x
  2. Step 2: Convert to fraction form
    88,128/188,720 = 188,720/x
  3. Step 3: Cross multiply
    88,128x = 188,720 × 188,720
  4. Step 4: Simplify right side
    88,128x = 35,615,238,400
  5. Step 5: Solve for x
    x = 35,615,238,400/88,128
  6. Step 6: Final answer
    x = 404,130.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.