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Finding the Third Proportional to 45,964 and 68,946

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Solution

The third proportional to 45,964 and 68,946 is: 103,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964 : 68,946 = 68,946 : x
  2. Step 2: Convert to fraction form
    45,964/68,946 = 68,946/x
  3. Step 3: Cross multiply
    45,964x = 68,946 × 68,946
  4. Step 4: Simplify right side
    45,964x = 4,753,550,916
  5. Step 5: Solve for x
    x = 4,753,550,916/45,964
  6. Step 6: Final answer
    x = 103,419

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.