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Finding the Third Proportional to 88,717 and 133,997

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Solution

The third proportional to 88,717 and 133,997 is: 202,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,717 : 133,997 = 133,997 : x
  2. Step 2: Convert to fraction form
    88,717/133,997 = 133,997/x
  3. Step 3: Cross multiply
    88,717x = 133,997 × 133,997
  4. Step 4: Simplify right side
    88,717x = 17,955,196,009
  5. Step 5: Solve for x
    x = 17,955,196,009/88,717
  6. Step 6: Final answer
    x = 202,387.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.