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Finding the Third Proportional to 92,194 and 142,385

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Solution

The third proportional to 92,194 and 142,385 is: 219,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,194 : 142,385 = 142,385 : x
  2. Step 2: Convert to fraction form
    92,194/142,385 = 142,385/x
  3. Step 3: Cross multiply
    92,194x = 142,385 × 142,385
  4. Step 4: Simplify right side
    92,194x = 20,273,488,225
  5. Step 5: Solve for x
    x = 20,273,488,225/92,194
  6. Step 6: Final answer
    x = 219,900.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.