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Finding the Third Proportional to 73,805.75 and 117,496.13

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Solution

The third proportional to 73,805.75 and 117,496.13 is: 187,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,805.75 : 117,496.13 = 117,496.13 : x
  2. Step 2: Convert to fraction form
    73,805.75/117,496.13 = 117,496.13/x
  3. Step 3: Cross multiply
    73,805.75x = 117,496.13 × 117,496.13
  4. Step 4: Simplify right side
    73,805.75x = 13,805,339,390.02
  5. Step 5: Solve for x
    x = 13,805,339,390.02/73,805.75
  6. Step 6: Final answer
    x = 187,049.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.