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Finding the Third Proportional to 69,272 and 151,504

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Solution

The third proportional to 69,272 and 151,504 is: 331,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,272 : 151,504 = 151,504 : x
  2. Step 2: Convert to fraction form
    69,272/151,504 = 151,504/x
  3. Step 3: Cross multiply
    69,272x = 151,504 × 151,504
  4. Step 4: Simplify right side
    69,272x = 22,953,462,016
  5. Step 5: Solve for x
    x = 22,953,462,016/69,272
  6. Step 6: Final answer
    x = 331,352.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.