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Finding the Third Proportional to 92,464 and 135,404

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Solution

The third proportional to 92,464 and 135,404 is: 198,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,464 : 135,404 = 135,404 : x
  2. Step 2: Convert to fraction form
    92,464/135,404 = 135,404/x
  3. Step 3: Cross multiply
    92,464x = 135,404 × 135,404
  4. Step 4: Simplify right side
    92,464x = 18,334,243,216
  5. Step 5: Solve for x
    x = 18,334,243,216/92,464
  6. Step 6: Final answer
    x = 198,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.