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Finding the Third Proportional to 84,120 and 194,748

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Solution

The third proportional to 84,120 and 194,748 is: 450,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,120 : 194,748 = 194,748 : x
  2. Step 2: Convert to fraction form
    84,120/194,748 = 194,748/x
  3. Step 3: Cross multiply
    84,120x = 194,748 × 194,748
  4. Step 4: Simplify right side
    84,120x = 37,926,783,504
  5. Step 5: Solve for x
    x = 37,926,783,504/84,120
  6. Step 6: Final answer
    x = 450,865.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.