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Finding the Third Proportional to 88,593 and 136,809

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Solution

The third proportional to 88,593 and 136,809 is: 211,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,593 : 136,809 = 136,809 : x
  2. Step 2: Convert to fraction form
    88,593/136,809 = 136,809/x
  3. Step 3: Cross multiply
    88,593x = 136,809 × 136,809
  4. Step 4: Simplify right side
    88,593x = 18,716,702,481
  5. Step 5: Solve for x
    x = 18,716,702,481/88,593
  6. Step 6: Final answer
    x = 211,266.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.