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Finding the Third Proportional to 46,056 and 95,392

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Solution

The third proportional to 46,056 and 95,392 is: 197,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,056 : 95,392 = 95,392 : x
  2. Step 2: Convert to fraction form
    46,056/95,392 = 95,392/x
  3. Step 3: Cross multiply
    46,056x = 95,392 × 95,392
  4. Step 4: Simplify right side
    46,056x = 9,099,633,664
  5. Step 5: Solve for x
    x = 9,099,633,664/46,056
  6. Step 6: Final answer
    x = 197,577.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.