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Finding the Third Proportional to 71,023.13 and 153,313.13

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Solution

The third proportional to 71,023.13 and 153,313.13 is: 330,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023.13 : 153,313.13 = 153,313.13 : x
  2. Step 2: Convert to fraction form
    71,023.13/153,313.13 = 153,313.13/x
  3. Step 3: Cross multiply
    71,023.13x = 153,313.13 × 153,313.13
  4. Step 4: Simplify right side
    71,023.13x = 23,504,914,297.27
  5. Step 5: Solve for x
    x = 23,504,914,297.27/71,023.13
  6. Step 6: Final answer
    x = 330,947.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.