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Finding the Third Proportional to 72,825.75 and 99,667.13

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Solution

The third proportional to 72,825.75 and 99,667.13 is: 136,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,825.75 : 99,667.13 = 99,667.13 : x
  2. Step 2: Convert to fraction form
    72,825.75/99,667.13 = 99,667.13/x
  3. Step 3: Cross multiply
    72,825.75x = 99,667.13 × 99,667.13
  4. Step 4: Simplify right side
    72,825.75x = 9,933,535,805.77
  5. Step 5: Solve for x
    x = 9,933,535,805.77/72,825.75
  6. Step 6: Final answer
    x = 136,401.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.