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Finding the Third Proportional to 78,043.50 and 162,648

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Solution

The third proportional to 78,043.50 and 162,648 is: 338,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043.50 : 162,648 = 162,648 : x
  2. Step 2: Convert to fraction form
    78,043.50/162,648 = 162,648/x
  3. Step 3: Cross multiply
    78,043.50x = 162,648 × 162,648
  4. Step 4: Simplify right side
    78,043.50x = 26,454,371,904
  5. Step 5: Solve for x
    x = 26,454,371,904/78,043.50
  6. Step 6: Final answer
    x = 338,969.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.