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Finding the Third Proportional to 73,873.50 and 163,299

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Solution

The third proportional to 73,873.50 and 163,299 is: 360,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,873.50 : 163,299 = 163,299 : x
  2. Step 2: Convert to fraction form
    73,873.50/163,299 = 163,299/x
  3. Step 3: Cross multiply
    73,873.50x = 163,299 × 163,299
  4. Step 4: Simplify right side
    73,873.50x = 26,666,563,401
  5. Step 5: Solve for x
    x = 26,666,563,401/73,873.50
  6. Step 6: Final answer
    x = 360,976.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.