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Finding the Third Proportional to 43,314 and 93,074

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Solution

The third proportional to 43,314 and 93,074 is: 199,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314 : 93,074 = 93,074 : x
  2. Step 2: Convert to fraction form
    43,314/93,074 = 93,074/x
  3. Step 3: Cross multiply
    43,314x = 93,074 × 93,074
  4. Step 4: Simplify right side
    43,314x = 8,662,769,476
  5. Step 5: Solve for x
    x = 8,662,769,476/43,314
  6. Step 6: Final answer
    x = 199,999.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.