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Finding the Third Proportional to 46,226 and 109,085

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Solution

The third proportional to 46,226 and 109,085 is: 257,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,226 : 109,085 = 109,085 : x
  2. Step 2: Convert to fraction form
    46,226/109,085 = 109,085/x
  3. Step 3: Cross multiply
    46,226x = 109,085 × 109,085
  4. Step 4: Simplify right side
    46,226x = 11,899,537,225
  5. Step 5: Solve for x
    x = 11,899,537,225/46,226
  6. Step 6: Final answer
    x = 257,420.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.