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Finding the Third Proportional to 79,142 and 186,833

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Solution

The third proportional to 79,142 and 186,833 is: 441,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,142 : 186,833 = 186,833 : x
  2. Step 2: Convert to fraction form
    79,142/186,833 = 186,833/x
  3. Step 3: Cross multiply
    79,142x = 186,833 × 186,833
  4. Step 4: Simplify right side
    79,142x = 34,906,569,889
  5. Step 5: Solve for x
    x = 34,906,569,889/79,142
  6. Step 6: Final answer
    x = 441,062.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.