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Finding the Third Proportional to 73,969.88 and 161,778.94

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Solution

The third proportional to 73,969.88 and 161,778.94 is: 353,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,969.88 : 161,778.94 = 161,778.94 : x
  2. Step 2: Convert to fraction form
    73,969.88/161,778.94 = 161,778.94/x
  3. Step 3: Cross multiply
    73,969.88x = 161,778.94 × 161,778.94
  4. Step 4: Simplify right side
    73,969.88x = 26,172,424,618.63
  5. Step 5: Solve for x
    x = 26,172,424,618.63/73,969.88
  6. Step 6: Final answer
    x = 353,825.45

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Why These Related Problems?

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