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Finding the Third Proportional to 88,658 and 136,268

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Solution

The third proportional to 88,658 and 136,268 is: 209,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,658 : 136,268 = 136,268 : x
  2. Step 2: Convert to fraction form
    88,658/136,268 = 136,268/x
  3. Step 3: Cross multiply
    88,658x = 136,268 × 136,268
  4. Step 4: Simplify right side
    88,658x = 18,568,967,824
  5. Step 5: Solve for x
    x = 18,568,967,824/88,658
  6. Step 6: Final answer
    x = 209,444.92

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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.