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Finding the Third Proportional to 43,509 and 92,349

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Solution

The third proportional to 43,509 and 92,349 is: 196,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509 : 92,349 = 92,349 : x
  2. Step 2: Convert to fraction form
    43,509/92,349 = 92,349/x
  3. Step 3: Cross multiply
    43,509x = 92,349 × 92,349
  4. Step 4: Simplify right side
    43,509x = 8,528,337,801
  5. Step 5: Solve for x
    x = 8,528,337,801/43,509
  6. Step 6: Final answer
    x = 196,013.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.