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Finding the Third Proportional to 92,524 and 180,440

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Solution

The third proportional to 92,524 and 180,440 is: 351,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,524 : 180,440 = 180,440 : x
  2. Step 2: Convert to fraction form
    92,524/180,440 = 180,440/x
  3. Step 3: Cross multiply
    92,524x = 180,440 × 180,440
  4. Step 4: Simplify right side
    92,524x = 32,558,593,600
  5. Step 5: Solve for x
    x = 32,558,593,600/92,524
  6. Step 6: Final answer
    x = 351,893.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.