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Finding the Third Proportional to 43,102 and 93,004

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Solution

The third proportional to 43,102 and 93,004 is: 200,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102 : 93,004 = 93,004 : x
  2. Step 2: Convert to fraction form
    43,102/93,004 = 93,004/x
  3. Step 3: Cross multiply
    43,102x = 93,004 × 93,004
  4. Step 4: Simplify right side
    43,102x = 8,649,744,016
  5. Step 5: Solve for x
    x = 8,649,744,016/43,102
  6. Step 6: Final answer
    x = 200,680.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.