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Finding the Third Proportional to 65,742 and 141,990

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Solution

The third proportional to 65,742 and 141,990 is: 306,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 141,990 = 141,990 : x
  2. Step 2: Convert to fraction form
    65,742/141,990 = 141,990/x
  3. Step 3: Cross multiply
    65,742x = 141,990 × 141,990
  4. Step 4: Simplify right side
    65,742x = 20,161,160,100
  5. Step 5: Solve for x
    x = 20,161,160,100/65,742
  6. Step 6: Final answer
    x = 306,670.93

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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.