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Finding the Third Proportional to 40,106 and 86,569

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Solution

The third proportional to 40,106 and 86,569 is: 186,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106 : 86,569 = 86,569 : x
  2. Step 2: Convert to fraction form
    40,106/86,569 = 86,569/x
  3. Step 3: Cross multiply
    40,106x = 86,569 × 86,569
  4. Step 4: Simplify right side
    40,106x = 7,494,191,761
  5. Step 5: Solve for x
    x = 7,494,191,761/40,106
  6. Step 6: Final answer
    x = 186,859.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.