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Finding the Third Proportional to 79,382 and 107,810

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Solution

The third proportional to 79,382 and 107,810 is: 146,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,382 : 107,810 = 107,810 : x
  2. Step 2: Convert to fraction form
    79,382/107,810 = 107,810/x
  3. Step 3: Cross multiply
    79,382x = 107,810 × 107,810
  4. Step 4: Simplify right side
    79,382x = 11,622,996,100
  5. Step 5: Solve for x
    x = 11,622,996,100/79,382
  6. Step 6: Final answer
    x = 146,418.53

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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.