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Finding the Third Proportional to 137,035.13 and 204,903

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Solution

The third proportional to 137,035.13 and 204,903 is: 306,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,035.13 : 204,903 = 204,903 : x
  2. Step 2: Convert to fraction form
    137,035.13/204,903 = 204,903/x
  3. Step 3: Cross multiply
    137,035.13x = 204,903 × 204,903
  4. Step 4: Simplify right side
    137,035.13x = 41,985,239,409
  5. Step 5: Solve for x
    x = 41,985,239,409/137,035.13
  6. Step 6: Final answer
    x = 306,383.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.