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Finding the Third Proportional to 42,954.19 and 65,706.75

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Solution

The third proportional to 42,954.19 and 65,706.75 is: 100,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954.19 : 65,706.75 = 65,706.75 : x
  2. Step 2: Convert to fraction form
    42,954.19/65,706.75 = 65,706.75/x
  3. Step 3: Cross multiply
    42,954.19x = 65,706.75 × 65,706.75
  4. Step 4: Simplify right side
    42,954.19x = 4,317,376,995.56
  5. Step 5: Solve for x
    x = 4,317,376,995.56/42,954.19
  6. Step 6: Final answer
    x = 100,511.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.