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Finding the Third Proportional to 76,963.50 and 162,648

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Solution

The third proportional to 76,963.50 and 162,648 is: 343,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.50 : 162,648 = 162,648 : x
  2. Step 2: Convert to fraction form
    76,963.50/162,648 = 162,648/x
  3. Step 3: Cross multiply
    76,963.50x = 162,648 × 162,648
  4. Step 4: Simplify right side
    76,963.50x = 26,454,371,904
  5. Step 5: Solve for x
    x = 26,454,371,904/76,963.50
  6. Step 6: Final answer
    x = 343,726.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.