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Finding the Third Proportional to 43,035 and 92,295.75

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Solution

The third proportional to 43,035 and 92,295.75 is: 197,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,035 : 92,295.75 = 92,295.75 : x
  2. Step 2: Convert to fraction form
    43,035/92,295.75 = 92,295.75/x
  3. Step 3: Cross multiply
    43,035x = 92,295.75 × 92,295.75
  4. Step 4: Simplify right side
    43,035x = 8,518,505,468.06
  5. Step 5: Solve for x
    x = 8,518,505,468.06/43,035
  6. Step 6: Final answer
    x = 197,943.66

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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.