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Finding the Third Proportional to 45,925 and 93,791

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Solution

The third proportional to 45,925 and 93,791 is: 191,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,925 : 93,791 = 93,791 : x
  2. Step 2: Convert to fraction form
    45,925/93,791 = 93,791/x
  3. Step 3: Cross multiply
    45,925x = 93,791 × 93,791
  4. Step 4: Simplify right side
    45,925x = 8,796,751,681
  5. Step 5: Solve for x
    x = 8,796,751,681/45,925
  6. Step 6: Final answer
    x = 191,546.04

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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.