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Finding the Third Proportional to 79,362 and 107,783

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Solution

The third proportional to 79,362 and 107,783 is: 146,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,362 : 107,783 = 107,783 : x
  2. Step 2: Convert to fraction form
    79,362/107,783 = 107,783/x
  3. Step 3: Cross multiply
    79,362x = 107,783 × 107,783
  4. Step 4: Simplify right side
    79,362x = 11,617,175,089
  5. Step 5: Solve for x
    x = 11,617,175,089/79,362
  6. Step 6: Final answer
    x = 146,382.09

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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.