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Finding the Third Proportional to 45,916 and 93,775

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Solution

The third proportional to 45,916 and 93,775 is: 191,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,916 : 93,775 = 93,775 : x
  2. Step 2: Convert to fraction form
    45,916/93,775 = 93,775/x
  3. Step 3: Cross multiply
    45,916x = 93,775 × 93,775
  4. Step 4: Simplify right side
    45,916x = 8,793,750,625
  5. Step 5: Solve for x
    x = 8,793,750,625/45,916
  6. Step 6: Final answer
    x = 191,518.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.