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Finding the Third Proportional to 71,568.56 and 149,023.13

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Solution

The third proportional to 71,568.56 and 149,023.13 is: 310,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568.56 : 149,023.13 = 149,023.13 : x
  2. Step 2: Convert to fraction form
    71,568.56/149,023.13 = 149,023.13/x
  3. Step 3: Cross multiply
    71,568.56x = 149,023.13 × 149,023.13
  4. Step 4: Simplify right side
    71,568.56x = 22,207,891,784.77
  5. Step 5: Solve for x
    x = 22,207,891,784.77/71,568.56
  6. Step 6: Final answer
    x = 310,302.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.