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Finding the Third Proportional to 43,129 and 92,558

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Solution

The third proportional to 43,129 and 92,558 is: 198,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129 : 92,558 = 92,558 : x
  2. Step 2: Convert to fraction form
    43,129/92,558 = 92,558/x
  3. Step 3: Cross multiply
    43,129x = 92,558 × 92,558
  4. Step 4: Simplify right side
    43,129x = 8,566,983,364
  5. Step 5: Solve for x
    x = 8,566,983,364/43,129
  6. Step 6: Final answer
    x = 198,636.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.