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Finding the Third Proportional to 65,766 and 142,043

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Solution

The third proportional to 65,766 and 142,043 is: 306,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,766 : 142,043 = 142,043 : x
  2. Step 2: Convert to fraction form
    65,766/142,043 = 142,043/x
  3. Step 3: Cross multiply
    65,766x = 142,043 × 142,043
  4. Step 4: Simplify right side
    65,766x = 20,176,213,849
  5. Step 5: Solve for x
    x = 20,176,213,849/65,766
  6. Step 6: Final answer
    x = 306,787.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.