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Finding the Third Proportional to 100,452 and 136,426

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Solution

The third proportional to 100,452 and 136,426 is: 185,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,452 : 136,426 = 136,426 : x
  2. Step 2: Convert to fraction form
    100,452/136,426 = 136,426/x
  3. Step 3: Cross multiply
    100,452x = 136,426 × 136,426
  4. Step 4: Simplify right side
    100,452x = 18,612,053,476
  5. Step 5: Solve for x
    x = 18,612,053,476/100,452
  6. Step 6: Final answer
    x = 185,283.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.