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Finding the Third Proportional to 43,155 and 92,308

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Solution

The third proportional to 43,155 and 92,308 is: 197,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,155 : 92,308 = 92,308 : x
  2. Step 2: Convert to fraction form
    43,155/92,308 = 92,308/x
  3. Step 3: Cross multiply
    43,155x = 92,308 × 92,308
  4. Step 4: Simplify right side
    43,155x = 8,520,766,864
  5. Step 5: Solve for x
    x = 8,520,766,864/43,155
  6. Step 6: Final answer
    x = 197,445.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.