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Finding the Third Proportional to 88,186 and 135,128

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Solution

The third proportional to 88,186 and 135,128 is: 207,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,186 : 135,128 = 135,128 : x
  2. Step 2: Convert to fraction form
    88,186/135,128 = 135,128/x
  3. Step 3: Cross multiply
    88,186x = 135,128 × 135,128
  4. Step 4: Simplify right side
    88,186x = 18,259,576,384
  5. Step 5: Solve for x
    x = 18,259,576,384/88,186
  6. Step 6: Final answer
    x = 207,057.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.