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Finding the Third Proportional to 73,813.78 and 161,655.19

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Solution

The third proportional to 73,813.78 and 161,655.19 is: 354,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813.78 : 161,655.19 = 161,655.19 : x
  2. Step 2: Convert to fraction form
    73,813.78/161,655.19 = 161,655.19/x
  3. Step 3: Cross multiply
    73,813.78x = 161,655.19 × 161,655.19
  4. Step 4: Simplify right side
    73,813.78x = 26,132,399,645.66
  5. Step 5: Solve for x
    x = 26,132,399,645.66/73,813.78
  6. Step 6: Final answer
    x = 354,031.45

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