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Finding the Third Proportional to 88,723 and 134,009

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Solution

The third proportional to 88,723 and 134,009 is: 202,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,723 : 134,009 = 134,009 : x
  2. Step 2: Convert to fraction form
    88,723/134,009 = 134,009/x
  3. Step 3: Cross multiply
    88,723x = 134,009 × 134,009
  4. Step 4: Simplify right side
    88,723x = 17,958,412,081
  5. Step 5: Solve for x
    x = 17,958,412,081/88,723
  6. Step 6: Final answer
    x = 202,409.88

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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.