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Finding the Third Proportional to 45,964 and 65,042

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Solution

The third proportional to 45,964 and 65,042 is: 92,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964 : 65,042 = 65,042 : x
  2. Step 2: Convert to fraction form
    45,964/65,042 = 65,042/x
  3. Step 3: Cross multiply
    45,964x = 65,042 × 65,042
  4. Step 4: Simplify right side
    45,964x = 4,230,461,764
  5. Step 5: Solve for x
    x = 4,230,461,764/45,964
  6. Step 6: Final answer
    x = 92,038.59

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.