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Finding the Third Proportional to 84,676.50 and 175,077

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Solution

The third proportional to 84,676.50 and 175,077 is: 361,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,676.50 : 175,077 = 175,077 : x
  2. Step 2: Convert to fraction form
    84,676.50/175,077 = 175,077/x
  3. Step 3: Cross multiply
    84,676.50x = 175,077 × 175,077
  4. Step 4: Simplify right side
    84,676.50x = 30,651,955,929
  5. Step 5: Solve for x
    x = 30,651,955,929/84,676.50
  6. Step 6: Final answer
    x = 361,988.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.