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Finding the Third Proportional to 100,470 and 136,822

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Solution

The third proportional to 100,470 and 136,822 is: 186,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470 : 136,822 = 136,822 : x
  2. Step 2: Convert to fraction form
    100,470/136,822 = 136,822/x
  3. Step 3: Cross multiply
    100,470x = 136,822 × 136,822
  4. Step 4: Simplify right side
    100,470x = 18,720,259,684
  5. Step 5: Solve for x
    x = 18,720,259,684/100,470
  6. Step 6: Final answer
    x = 186,326.86

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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.