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Finding the Third Proportional to 73,853.02 and 161,072.93

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Solution

The third proportional to 73,853.02 and 161,072.93 is: 351,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,853.02 : 161,072.93 = 161,072.93 : x
  2. Step 2: Convert to fraction form
    73,853.02/161,072.93 = 161,072.93/x
  3. Step 3: Cross multiply
    73,853.02x = 161,072.93 × 161,072.93
  4. Step 4: Simplify right side
    73,853.02x = 25,944,488,678.11
  5. Step 5: Solve for x
    x = 25,944,488,678.11/73,853.02
  6. Step 6: Final answer
    x = 351,298.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.