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Finding the Third Proportional to 45,959 and 65,036

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Solution

The third proportional to 45,959 and 65,036 is: 92,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,959 : 65,036 = 65,036 : x
  2. Step 2: Convert to fraction form
    45,959/65,036 = 65,036/x
  3. Step 3: Cross multiply
    45,959x = 65,036 × 65,036
  4. Step 4: Simplify right side
    45,959x = 4,229,681,296
  5. Step 5: Solve for x
    x = 4,229,681,296/45,959
  6. Step 6: Final answer
    x = 92,031.62

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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.