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Finding the Third Proportional to 30,250 and 65,747

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Solution

The third proportional to 30,250 and 65,747 is: 142,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250 : 65,747 = 65,747 : x
  2. Step 2: Convert to fraction form
    30,250/65,747 = 65,747/x
  3. Step 3: Cross multiply
    30,250x = 65,747 × 65,747
  4. Step 4: Simplify right side
    30,250x = 4,322,668,009
  5. Step 5: Solve for x
    x = 4,322,668,009/30,250
  6. Step 6: Final answer
    x = 142,898.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.