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Finding the Third Proportional to 96,581 and 153,679

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Solution

The third proportional to 96,581 and 153,679 is: 244,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,581 : 153,679 = 153,679 : x
  2. Step 2: Convert to fraction form
    96,581/153,679 = 153,679/x
  3. Step 3: Cross multiply
    96,581x = 153,679 × 153,679
  4. Step 4: Simplify right side
    96,581x = 23,617,235,041
  5. Step 5: Solve for x
    x = 23,617,235,041/96,581
  6. Step 6: Final answer
    x = 244,532.93

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