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Finding the Third Proportional to 88,636 and 133,018

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Solution

The third proportional to 88,636 and 133,018 is: 199,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,636 : 133,018 = 133,018 : x
  2. Step 2: Convert to fraction form
    88,636/133,018 = 133,018/x
  3. Step 3: Cross multiply
    88,636x = 133,018 × 133,018
  4. Step 4: Simplify right side
    88,636x = 17,693,788,324
  5. Step 5: Solve for x
    x = 17,693,788,324/88,636
  6. Step 6: Final answer
    x = 199,623.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.