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Finding the Third Proportional to 44,706 and 93,081

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Solution

The third proportional to 44,706 and 93,081 is: 193,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,706 : 93,081 = 93,081 : x
  2. Step 2: Convert to fraction form
    44,706/93,081 = 93,081/x
  3. Step 3: Cross multiply
    44,706x = 93,081 × 93,081
  4. Step 4: Simplify right side
    44,706x = 8,664,072,561
  5. Step 5: Solve for x
    x = 8,664,072,561/44,706
  6. Step 6: Final answer
    x = 193,801.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.