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Finding the Third Proportional to 44,964 and 68,118

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Solution

The third proportional to 44,964 and 68,118 is: 103,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,964 : 68,118 = 68,118 : x
  2. Step 2: Convert to fraction form
    44,964/68,118 = 68,118/x
  3. Step 3: Cross multiply
    44,964x = 68,118 × 68,118
  4. Step 4: Simplify right side
    44,964x = 4,640,061,924
  5. Step 5: Solve for x
    x = 4,640,061,924/44,964
  6. Step 6: Final answer
    x = 103,195.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.