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Finding the Third Proportional to 97,667 and 146,473

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Solution

The third proportional to 97,667 and 146,473 is: 219,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,667 : 146,473 = 146,473 : x
  2. Step 2: Convert to fraction form
    97,667/146,473 = 146,473/x
  3. Step 3: Cross multiply
    97,667x = 146,473 × 146,473
  4. Step 4: Simplify right side
    97,667x = 21,454,339,729
  5. Step 5: Solve for x
    x = 21,454,339,729/97,667
  6. Step 6: Final answer
    x = 219,668.26

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