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Finding the Third Proportional to 71,322 and 151,351.50

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Solution

The third proportional to 71,322 and 151,351.50 is: 321,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322 : 151,351.50 = 151,351.50 : x
  2. Step 2: Convert to fraction form
    71,322/151,351.50 = 151,351.50/x
  3. Step 3: Cross multiply
    71,322x = 151,351.50 × 151,351.50
  4. Step 4: Simplify right side
    71,322x = 22,907,276,552.25
  5. Step 5: Solve for x
    x = 22,907,276,552.25/71,322
  6. Step 6: Final answer
    x = 321,181.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.