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Finding the Third Proportional to 52,667.25 and 74,522.25

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Solution

The third proportional to 52,667.25 and 74,522.25 is: 105,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,667.25 : 74,522.25 = 74,522.25 : x
  2. Step 2: Convert to fraction form
    52,667.25/74,522.25 = 74,522.25/x
  3. Step 3: Cross multiply
    52,667.25x = 74,522.25 × 74,522.25
  4. Step 4: Simplify right side
    52,667.25x = 5,553,565,745.06
  5. Step 5: Solve for x
    x = 5,553,565,745.06/52,667.25
  6. Step 6: Final answer
    x = 105,446.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.