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Finding the Third Proportional to 86,226 and 133,822

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Solution

The third proportional to 86,226 and 133,822 is: 207,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,226 : 133,822 = 133,822 : x
  2. Step 2: Convert to fraction form
    86,226/133,822 = 133,822/x
  3. Step 3: Cross multiply
    86,226x = 133,822 × 133,822
  4. Step 4: Simplify right side
    86,226x = 17,908,327,684
  5. Step 5: Solve for x
    x = 17,908,327,684/86,226
  6. Step 6: Final answer
    x = 207,690.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.