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Finding the Third Proportional to 88,272 and 135,057.38

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Solution

The third proportional to 88,272 and 135,057.38 is: 206,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,272 : 135,057.38 = 135,057.38 : x
  2. Step 2: Convert to fraction form
    88,272/135,057.38 = 135,057.38/x
  3. Step 3: Cross multiply
    88,272x = 135,057.38 × 135,057.38
  4. Step 4: Simplify right side
    88,272x = 18,240,494,541.89
  5. Step 5: Solve for x
    x = 18,240,494,541.89/88,272
  6. Step 6: Final answer
    x = 206,639.64

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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.