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Finding the Third Proportional to 96,768 and 149,520

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Solution

The third proportional to 96,768 and 149,520 is: 231,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 149,520 = 149,520 : x
  2. Step 2: Convert to fraction form
    96,768/149,520 = 149,520/x
  3. Step 3: Cross multiply
    96,768x = 149,520 × 149,520
  4. Step 4: Simplify right side
    96,768x = 22,356,230,400
  5. Step 5: Solve for x
    x = 22,356,230,400/96,768
  6. Step 6: Final answer
    x = 231,029.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.