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Finding the Third Proportional to 73,045.13 and 151,932.38

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Solution

The third proportional to 73,045.13 and 151,932.38 is: 316,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045.13 : 151,932.38 = 151,932.38 : x
  2. Step 2: Convert to fraction form
    73,045.13/151,932.38 = 151,932.38/x
  3. Step 3: Cross multiply
    73,045.13x = 151,932.38 × 151,932.38
  4. Step 4: Simplify right side
    73,045.13x = 23,083,446,573.14
  5. Step 5: Solve for x
    x = 23,083,446,573.14/73,045.13
  6. Step 6: Final answer
    x = 316,016.25

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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.