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Finding the Third Proportional to 71,347.22 and 153,732.09

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Solution

The third proportional to 71,347.22 and 153,732.09 is: 331,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,347.22 : 153,732.09 = 153,732.09 : x
  2. Step 2: Convert to fraction form
    71,347.22/153,732.09 = 153,732.09/x
  3. Step 3: Cross multiply
    71,347.22x = 153,732.09 × 153,732.09
  4. Step 4: Simplify right side
    71,347.22x = 23,633,556,648.76
  5. Step 5: Solve for x
    x = 23,633,556,648.76/71,347.22
  6. Step 6: Final answer
    x = 331,247.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.