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Finding the Third Proportional to 58,106 and 81,822

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Solution

The third proportional to 58,106 and 81,822 is: 115,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,106 : 81,822 = 81,822 : x
  2. Step 2: Convert to fraction form
    58,106/81,822 = 81,822/x
  3. Step 3: Cross multiply
    58,106x = 81,822 × 81,822
  4. Step 4: Simplify right side
    58,106x = 6,694,839,684
  5. Step 5: Solve for x
    x = 6,694,839,684/58,106
  6. Step 6: Final answer
    x = 115,217.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.