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Finding the Third Proportional to 70,201.13 and 149,734.13

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Solution

The third proportional to 70,201.13 and 149,734.13 is: 319,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201.13 : 149,734.13 = 149,734.13 : x
  2. Step 2: Convert to fraction form
    70,201.13/149,734.13 = 149,734.13/x
  3. Step 3: Cross multiply
    70,201.13x = 149,734.13 × 149,734.13
  4. Step 4: Simplify right side
    70,201.13x = 22,420,308,189.52
  5. Step 5: Solve for x
    x = 22,420,308,189.52/70,201.13
  6. Step 6: Final answer
    x = 319,372.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.