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Finding the Third Proportional to 83,351.50 and 119,107.50

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Solution

The third proportional to 83,351.50 and 119,107.50 is: 170,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,351.50 : 119,107.50 = 119,107.50 : x
  2. Step 2: Convert to fraction form
    83,351.50/119,107.50 = 119,107.50/x
  3. Step 3: Cross multiply
    83,351.50x = 119,107.50 × 119,107.50
  4. Step 4: Simplify right side
    83,351.50x = 14,186,596,556.25
  5. Step 5: Solve for x
    x = 14,186,596,556.25/83,351.50
  6. Step 6: Final answer
    x = 170,202.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.