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Finding the Third Proportional to 44,906 and 68,725

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Solution

The third proportional to 44,906 and 68,725 is: 105,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,906 : 68,725 = 68,725 : x
  2. Step 2: Convert to fraction form
    44,906/68,725 = 68,725/x
  3. Step 3: Cross multiply
    44,906x = 68,725 × 68,725
  4. Step 4: Simplify right side
    44,906x = 4,723,125,625
  5. Step 5: Solve for x
    x = 4,723,125,625/44,906
  6. Step 6: Final answer
    x = 105,178.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.