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Finding the Third Proportional to 81,697.50 and 170,876.50

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Solution

The third proportional to 81,697.50 and 170,876.50 is: 357,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,697.50 : 170,876.50 = 170,876.50 : x
  2. Step 2: Convert to fraction form
    81,697.50/170,876.50 = 170,876.50/x
  3. Step 3: Cross multiply
    81,697.50x = 170,876.50 × 170,876.50
  4. Step 4: Simplify right side
    81,697.50x = 29,198,778,252.25
  5. Step 5: Solve for x
    x = 29,198,778,252.25/81,697.50
  6. Step 6: Final answer
    x = 357,401.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.